Answers
[tex]\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ Inverse \ of \ the \ given \ function \ is \ x^2+2x-4 .}}}[/tex]
Step-by-step explanation:A function is given to us , and we need to find its inverse. So the function is ,
[tex]\bf\implies f(x) = \sqrt{x + 5 } - 1 [/tex]
So , firstly replace x with y in the given function and then solve for y to get its inverse . Taking the given function ,
[tex]\bf \implies f(x) = \sqrt{x+5}-1\\\\\bf\implies y = \sqrt{x+5}-1 \\\\\bf\implies x = \sqrt{y+5}-1 \:\:\bigg\lgroup \red{\sf Replacing \ x \ with \ y .} \bigg\rgroup \\\\\bf\implies x + 1 = \sqrt{y+5}\\\\\bf\implies y+5 = (x+1)^2 \\\\\bf\implies y+5 = x^2+1 +2x \\\\\bf\implies y = x^2+1-5+2x \\\\\bf\implies y = x^2-4+2x \\\\\bf\implies \boxed{\red{\bf f^{-1}(x)= x^2+2x - 4 }}[/tex]
Here I have also attached the graph of , x² + 2x - 4 and √(x+5) - 1. Here blue graph is of √(x+5) - 1 & red of x²+2x-4.
Hence the inverse f -¹(x) of the given function is x² + 2x - 4 .
Related Questions
What is the problem of a number and negative 8
Answers
Answer:
Please be more clear and I might be able to help
Step-by-step explanation:
answer pleaseesesese
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Answer:
a
Step-by-step explanation:
its a bc a is the only one that is the answer
hi please help me , if u dont mind
Answers
Answer:
C or B
Step-by-step explanation:
Answer: i believe it would be B
Step-by-step explanation: Basically the graph points keep moving up.
Molly shot 20 baskets in 4 minutes. Nico shot 42 baskets in 6 minutes.
How many more baskets did Nico shoot per minute? (If you answer this one, you will 15 points and I can answer one of urs too!)
Answers
nico shot 42 basket in 6 minutes
per minute =42÷6
7
nico shot 7 basket per minute
.
Answer:
2
Step-by-step explanation:
Molly 60.4=240 20:4=5
Nico 60.6=360 42:6=7
7-5=2
What is a number increased by 7 multiplied by 4?
Answers
Answer:
9?
Step-by-step explanation:
9 + 7 is `16, and 16 is a multiple of 4
what is the area of a circle whose radius is 4x centimeters? write your answer in terms of pi.
Answers
Answer:
16xpi
Step-by-step explanation:
To find the area of a circle the formula is pi r squared.
r represents radius, aka 4x.
4 times 4 yields 16.
Leaving you with 16xpi
Answer:
50.24
Step-by-step explanation:
A= πr^2
3.14 x 4^2 = 50.24
(4^2=16)
Brainliest to right answer
Answers
Answer:
(-8) is the missing value here, so
the coordinates will be (-8,8)
Answer:
-8
Step-by-step explanation:
→ Substitute y = 8 into -4x - y = 24
-4x - 8 = 24
→ Add 8 to both sides to isolate -4x
-4x = 32
→ Divide both sides by -4 to isolate x
x = -8
Find X.
Math it’s.com
Answers
Answer:
value of x = 8
Step-by-step explanation:
well here,
line x is parallel to the line measuring 18
so the two triangles are similar to each other
hence ratio of their sides are equal
so 6/ 12 = x/ 16
=》1/2 = x/16
=》 x = 16 / 2
=》 x = 8
i hope u got it
have a nice day
Answer:
x = [tex]\frac{16}{3}[/tex]
Step-by-step explanation:
The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{6}{6+12}[/tex] = [tex]\frac{x}{16}[/tex] , that is
[tex]\frac{6}{18}[/tex] = [tex]\frac{x}{16}[/tex] ( cross- multiply )
18x = 96 ( divide both sides by 18 )
x = [tex]\frac{96}{18}[/tex] = [tex]\frac{16}{3}[/tex]
ILL GIVE BRAINLIEST
An angle measures 100° less than the measure of its supplementary angle. What is the measure of each angle? _° and _°
Answers
Answer:
Step-by-step explanation:
the sum of supplementary angles equal to 180
let x=angle
180-x= the other angle
180-x=x-100
2x=280
x=140
the other angle is 40
A chemist is using 348 milliliters of a solution of acid and water. If 14.4% of the solution is acid, how many milliliters of acid are there? Round your answer to
the nearest tenth.
milliliters
Х
5
?
Answers
Answer:
50.1 milliliters
Step-by-step explanation:
hope this helps!
what is an equation of the line that passes through the point (-6,-1) and is perpendicular to the line 6x-y=7? (has to be in y=mx+b form)
Answers
Answer:
y = [tex]-\frac{1}{6}[/tex] x - 2
Step-by-step explanation:
Slopes of perpendicular lines are opposite reciprocals.
If AB ⊥ CD , then [tex]m_{AB}[/tex] [tex]m_{CD}[/tex] = - 1
y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])
~~~~~~~~~~~
6x - y = 7 ⇔ y = 6x - 7
Slope of given line is 6
Slope of a perpendicular line is [tex]-\frac{1}{6}[/tex]
( - 6, - 1 )
y + 1 = [tex]-\frac{1}{6}[/tex] (x + 6)
y = [tex]-\frac{1}{6}[/tex] x - 2
find the measurement indicated in each parallelogram please help!
Answers
Answer:
UW = EW+UE=2×EW because, EW=UE
7x-2=2×6= 12
7x=14
x=14/7
x=2
2 is the right answer.x + 80 = 180 - (64 + 36)
x + 80 = 180 - 100
x + 80 = 80
x = 0
0 is the right answer.write an equation of a line that is parallel to y=3x-2 and runs through the point (1,6)
Answers
Answer:
y=3x+3
Step-by-step explanation:
If equations of lines are parallel, their slopes are the same. Therefore, we can sub '3' in for the slope value in y=mx+c to get y=3x+c.
Sub in the point:
6=3(1)+c
c=6-3=3
ANS: y=3x+3
Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, so
y = 3x + c ← is the partial equation
To find c substitute (1, 6) into the partial equation
6 = 3 + c ⇒ c = 6 - 3 = 3
y = 3x + 3 ← equation of parallel line
What is the equation ?
Answers
Answer:
[tex]y=1/3x[/tex]
Step-by-step explanation:
It's positive, and it goes up once for every three times it goes to the right.
158, 155,152,...
Find the 34th term.
Answers
Answer:
56
Step-by-step explanation:
158 - ( 3 * 34) = 56
What is the square root of 100?
Answers
Answer:
the square root of 100 is 10
10x10=100
Answer:
the square root of 100 is 10
Step-by-step explanation:
Find the distance between the points (5, 2) and (1, -3). Round to the nearest tenth if necessary.
a. 3.0
b. 9.0
c. 5.2
d. 6.4
Answers
Answer:
d. 6.4
Step-by-step explanation:
d=√(1−5)2+(−3−2)2
d=√(−4)2+(−5)2
d=√16+25
d=√4–√1
d=6.403124
Identify as a ratio, rate or unit rate: 5 apps for $9.99
Answers
4.5m is ____ % of 90 cm; 90 cm is ____ % of 4.5m
Answers
Answer:
4.5m is 450%
90cm is 45%
Step-by-step explanation:
HELPPPP
Predict the number of sales in month 5.
The store sold fewer blue jeans
after the
new pants became popular.
Enter the correct answer.
7904
3952
1976
988
?
Answers
Explanation: the sales are being cut in half every month
Yw. ;)
Solve the following word problem using two variables. Show each step of your work.
John is five years older than Maya. The sum of their ages is 27. Find both ages.
Answers
Answer:
John is 16 and Maya is 11
Step-by-step explanation:
x=Maya's age
x+5=John's age
x+x+5=27
2x+5=27
-5 -5
2x=22
/2 /2
x=11
x+5=
11+5= 16
Find x.
Side splitter theorem
Answers
Answer:
x = 9
Step-by-step explanation:
The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{8}{8+4}[/tex] = [tex]\frac{x-3}{x}[/tex] , that is
[tex]\frac{8}{12}[/tex] = [tex]\frac{x-3}{x}[/tex] ( cross- multiply )
12(x - 3) = 8x
12x - 36 = 8x ( subtract 8x from both sides )
4x - 36 = 0 ( add 36 to both sides )
4x = 36 ( divide both sides by 4 )
x = 9
The perimeter of a rectangle is 70cm. if its length is decreased by 5cm and its width is increased by 5cm, its area will increase by 50 cm^2. Find the length and the width of the original rectangle.
Answers
Answer:
l=25, w=10
Step-by-step explanation:
2(25)+2(10)=70
25*10=250
25-5=20
10+5=15
20*15=300
Answer:
width = 10
lenghth = 25
Step-by-step explanation:
the value of the 7 in 0.076 is 1/10 the value of the 7 in 2.79
Answers
Answer:
true
Step-by-step explanation:
the second 7 is in the tenth place and the first 7 is in the hundredth place, which is 1/10 the tenth place
I agree...................
What is 9 x 9 is exponet form
Answers
Answer:
9^{2}
Step-by-step explanation:
9 x 9 in exponent form is 9², because nine squared is equal to nine times nine.
Iready: using a graph to analyze a functional relationship.
Describe the function between x = -4 and x = -1
Answers
Answer:
A
Step-by-step explanation:
Hello! The answer is linear and increasing !
Step-by-step explanation:
As you see on the graph it’s increasing ! And it’s linear !
pls help me and hve a nice day ;p
Answers
Step-by-step explanation:
km²
make it braintliest please
kiersten is 6ft tall. She is standing in front of a tree and notices her shadow. If her shadow is 9 feet away from her and the shadow of the tree is 84 feet away from the tree, how tall is the tree?
Answers
If kiersten is 6ft tall. She is standing in front of a tree and notices her shadow and her shadow is 9 feet away from her. The height of the tree is 56 feet.
How to find the height?Given data:
kiersten height = 6ft tall
Shadow = 9 feet away
Shadow of tree = 84 feet
The equation that will be use to find the height is 6/9= x/84
Let x represent the tree's height
So, let solve for x
6/9= x/84
Cross multiply:
9x = 6(84)
9x = 504
Divide both side by 9x
x= 504/9
x = 56 feet
Therefore we can conclude that the height of the tree is 56 feet.
Learn more about height here:https://brainly.com/question/1739912
#SPJ1
This recipe makes 12 flapjacks.
How much of each ingredient is needed to make 42 flapjacks by following this recipe?
Recipe: Makes 12 flapjacks
140 g margarine
120 g sugar
100 ml syrup
240 g oats
50 g raisins
PLEASE HELPPP
Answers
Answer:
Step-by-step explanation:
just times everything 3.5 as 42/12=3.5
490g margarine
420g sugar
350ml syrup
840g oats
175g raisins
Which two properties characterize an air mass?
Answers
Answer:
Step-by-step explanation: Air masses are given a two-part name that describes the humidity and temperature characteristics of the region where they form
Answer:
Air masses have fairly uniform temperature and moisture content in horizontal direction (but not uniform in vertical).
Step-by-step explanation:
Looked it up