Answers
Answer:
a) [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]
b) [tex]\mathbf{f(g(9))=16}[/tex]
Step-by-step explanation:
We are given:
[tex]f(x)=(x-2)^2\\g(x)=\sqrt{x} +3[/tex]
We need to find [tex]a) f(g(x))\\b) f(g(9))[/tex]
a) First finding: [tex]f(g(x))[/tex]
It can be found by putting the value of g(x) into f(x)
We are given:
[tex]f(x)=(x-2)^2\\Put\:x=g(x)\:i.e. \: x= \sqrt{x} +3\\f(g(x))=(\sqrt{x} +3-2)^2\\Now\: solving:\\f(g(x))=(\sqrt{x} +1)^2\\Using\:formula\:\mathbf{(a+b)^2=a^2+2ab+b^2}\\f(g(x))=(\sqrt{x})^2+2(\sqrt{x} )(1)+(1)^2\\ f(g(x))=x+2\sqrt{x} +1[/tex]
SO, we get: [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]
b) Now finding: [tex]f(g(9))[/tex]
It can be found by putting x=9 in f(g(x))
We have:
[tex]f(g(x))=x+2\sqrt{x} +1\\Put\:x=9\\f(g(9))=9+2\sqrt{9}+1\\We\:know\: \sqrt{9}=3\\ f(g(9))=9+2(3)+1\\f(g(9))=9+6+1\\f(g(9))=16[/tex]
So, we get: [tex]\mathbf{f(g(9))=16}[/tex]
Related Questions
Helppppp asap!!!!! Solve the inequality 4−23x>2−x for x. Show your work below.
Answers
Answer:
1/11>x
Step-by-step explanation:
4−23x>2−x
+23x to both sides
4>2+22x
-2 from both sides
2>22x
Divide by 22
1/11>x
Given mn, find the value of x.
+
(x-3)
(8x+3)
Answers
Answer
x=20
Step-by-step explanation:
(x-3) + (8x+3) = 180
9x = 180
x=20
Ji Sunn spent $24 at the local farmer’s market. She bought apples that cost $4 per pound and raspberries that cost $6 per pound. Which equation can be used to represent the amount of raspberries, r, in terms of apples, a?
r = 4 minus two-thirds a
r = 4 + two-thirds a
r = 6 minus three-halves a
r = 6 + three-halves aThe formula for electrical power is P = I V. Which is the equivalent equation solved for i?
Answers
wich fractions are equivalent to 40% check all that apply
Answers
Answer:
[tex]\frac{2}{5} = \frac{8}{20} = \frac{4}{10} = \frac{16}{40} = 40\% = \frac{40}{100} [/tex]
hope this helps.
what are the missing reasons in the proof. im having an hard time with this.
Answers
Answer:
Please see below
Step-by-step explanation:
Step 3: Definition of parallelogram
Step 4: Alternate internal angles between parallel lines AB // CD
Step 5: Reflexive property of congruence
Step 6: ASA theorem
i need help now its due right now can anyone help me
Answers
Answer:
(2,-3)
Step-by-step explanation:
I thought you'd actually have to calculate it but I guess they just wanted to give you guys a graph lol
What is the radius of the circle?
Answers
Answer: The circumference of a circle is equal to Pi π times the diameter d . Since the diameter d is equal to 2 times the radius r , the formula for circumference using radius is 2πr 2 π r .
Step-by-step explanation:
Answer:
radius=area÷2
radius=9÷2
radius=4.5
Select the correct answer.
Which function passes through the points (2, 15) and (3, 26)?
A.
y = 11x + 7
B.
y = 11x − 7
C.
y = 7x + 11
D.
y = -11x − 7
E.
y = 7x − 11
Answers
Answer:
B. y = 11x - 7 passes through the points (2 , 15) and (3 , 26)
Step-by-step explanation:
Can someone please help me on Number 3 Please :)
Answers
Answer:
18000000 km
Step-by-step explanation:
25000*24*30=18000000
Find m∠1.
help me answer this pls
Answers
Answer:
50 degrees
Step-by-step explanation:
Since the two lines are parallel, we know that the other angle above angle 1 is also 130, because corresponding angles are congruent. Next, since we know that it sits on a line, we know that angle 1 and 130 make a linear pair, or add up to 180 degrees. 180-130= angle 1. So angle 1 is 50 degrees. Sorry if the explanation is a bit funky.
Can someone tell just the answer
Answers
Answer:
Option D is correct .
Step by step explanation:
A function is given to us and we need to find its inverse . The function is g(x) = -2x⁵ - 2.
So for finding its inverse , exachange x with y .
⇒ g(x) = -2x⁵ - 2 .
Let g(x) = y ,
⇒ y = -2x⁵ - 2 .
Replace x with y ,
⇒ x = -2y⁵ - 2
⇒ x + 2 = -2y⁵
⇒ y⁵ = x+2 / -2
⇒ y⁵ = (-1) ( x + 2) / (-1)(-2)
⇒ y⁵ = -x - 2/ 2
⇒ y = ⁵√ [ ( -x -2)/2 ]
Hence the inverse of the function is ,
[tex]\boxed{\red{\bf f^{-1}(x)=\sqrt[5]{\dfrac{-x-2}{2}}}}[/tex]
Hence the correct option is (D) .Find the value of x in the triangle shown below choose 1 answer
Answers
Answer:
x=10
Step-by-step explanation:
X^2=6^+8^
x^2=36=64
x^2=100, square root of 100 =10
x=10
7 lbs of dog food cost $6.30. What is the unit price? 20 points-
Answers
Answer: 9 cents
Step-by-step explanation: 6.30 divided by 7 is 0.9
Distance between (-9,-6) and (-6,-8)
Answers
Answer:
The distance is....
5
Step-by-step explanation:
Right answer only pleaseeee
Answers
Answer:
A,C,E
Step-by-step explanation:
Answer:
B. n ≥ -24.
D. The circle is closed.
E. The arrow points right.
Step-by-step explanation:
Step 1: Multiply both sides by -3/2, the reciprocal of -2/3. Since -2/3 is negative, the inequality direction changes.
(-2/3 * -3/2)n ≤ 16(-3/2)
n ≥ 16(-3/2)
Step 2: Express 16(-3/2) as a single fraction.
n ≥ 16(-3)/2
Step 3: Multiply 16 by -3 to get -48.
n ≥ -48/2
Final Step: Divide -48 by 2 to get -24.
n ≥ -24 is the final answer.
With inequalities that have this (≥), the circle should be closed (D) and the arrow goes right (E).
how to solve proportions
Answers
Answer:
Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."Use the distributive property to rewrite the expression -3 + 9(-4x + 4)
Answers
Answer:
-3(-11+12x)
Step-by-step explanation:
that should be the answer
PLEASE HELP GIVING BRAINLIEST!!! INTERNET Kilroy's Web site business has increased every year for the last 3 years. Write the percent its increase during the second year as a decimal and as a fraction in lowest terms.
Answers
Answer:
1.15
Step-by-step explanation:
when you have a % above 100 you divide that by 100 so it's 115 divided by 100 which is 1.15
27) Solve: x – 9 = 20
28) Solve: 1/3 x 5/8
29) Solve: 4 x 4 x 4 = ?
Answers
Answer:
bghjgkk7686968679
hjkggkhk67896869
ghjkgh
Step-by-step explanation:
hjkh7689
Answer:
29, 5/24 ,64
Step-by-step explanation:
27) x-9=20
x=20+9
x=29
28) 1/3*5/8
1*5/3*8
5/24
29) 4*4*4
4*4=16
16*4
64
Suppose a classroom where a debate is being held has an area of 252 square feet. If the classroom is 14 feet wide, how long is the classroom?
Answers
Answer:
18 feet long
Step-by-step explanation:
252 ÷ 14 = 18
:)
2.) A car rental company is charging a
$50 rental fee and then $0.17 per mile.
.
Write an expression that represents the
total cost of renting a car for a day using
m for number of miles.
If Kane traveled 55 miles, how much
did his trip cost?
Answers
Answer:
y=0.17x+50. His trip cost $50.85
Step-by-step explanation:
What pleASE help IM TRYING TO HELP MY BROTHER THIS IS EMBARR
Answers
Answer:
9/5 ft.
Step-by-step explanation:
9/10 + 9/10 = 18/10 = 9/5
Simplify the expression below:
5(2x - 4y)
Answers
Answer:
10x-20y
Step-by-step explanation:
5 x 2x - 5 x 4y
10x - 20y
Answer:
10 • (x - 2y)
Step-by-step explanation:
Pull out like factors :
2x - 4y = 2 • (x - 2y)
Final Result:
10 • (x - 2y)
¡Please answer!
¿What is a circle?.
Answers
Answer:
A circle is a shape.
Step-by-step explanation:
In geometry circles are known for you to solve the radius wit the formula A= π r^2
A circle is a shape consisting of all points in a plane that are a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.
Please help me answer this question thank you.
Answers
Answer:
122°
Step-by-step explanation:
10a + 2° + 5a - 2° = 180° [ being linear pair ]
15a = 180°
a = 180° / 15
a =12°
Now
<XYQ = 10a + 2° = 10 * 12° + 2° = 120° + 2° = 122°
Hope it will help :)
A satellite cable company charges an installation fee of $50 plus an additional $35.95 per month for service.
Answers
Fun fact
Bananas are curved because they grow towards the sun ☀️
Answers
Answer:
true
Step-by-step explanation:
What is a simplified expression term for -10f + -9f + 7
Answers
Answer:
-19f + 7
Step-by-step explanation:
group the fs
-19f + 7
is the simple expression
Which of the following correctly uses absolute value to show the distance between -80 and 15? (5 points)
a
|-80 - 15| = |-95| = -95 units
b
|-80 + 15| = |-65| = 65 units
c
|-80 - 15| = |-95| = 95 units
d
|-80 + 15| = |-65| = -65 units
Answers
Answer:
it's answer is b
|-80+15| = |-65| = 65 units
Hope this helps :)
This question is about displacement. Displacement is a set of vectors. So the answer is - can't be + can't be.
so,answer-b
I need some help...-^-
George rented a bike for 4 hours there was a $10 deposit to pay in addition to the hourly rate what is the hourly rate if the total came to less than or equal to $65...
Answers
Answer:
y=13.75x+10
Step-by-step explanation:
65-10=55
55 divided by 4 is 13.75
Answer:
y=13.75x+10
Step-by-step explanation:
65-10=55
55 divided by 4 is 13.75