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weeeeeb [17]
2 years ago
14

F(x)= 2x^2 -4x +9 and g(x)= 4x +1 Find (f o g) (-1)

Mathematics
1 answer:
VikaD [51]2 years ago
3 0

The value of the composite function is 20

<h3>Composite function</h3>

Composite function is also known as function of a function

Given the following expression as shown below;

f(x)= 2x^2 -4x +9

g(x)= 4x +1

Determine (fog)(x)

f(g(x) = f(4x+1)

f(4x+1) = 2(4x+1)^2-4(4x+1)+9

f(4x+1) = 2(16x^2+8x+1)-16x-4+9
f(4x+1) =13x^2+16x+2-16x+5

f(4x+1) = 13x^2 + 7

If the value of x is -1, hence;

f(4x+1) = 13(-1)^2 + 7

f(4x+1) = 20

Hence the value of the composite function is 20

Learn more on composite function here: brainly.com/question/13502804

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expeople1 [14]

Answer:

A

Step-by-step explanation:

it is y=-1/2x-4 for sure.

7 0
3 years ago
-2X-3-4Х<br><br> A) -6x -3<br> B) -3 -2x -4x<br> C) -x + 4x
Pavlova-9 [17]
The answer is A, make sure to combine like terms
5 0
3 years ago
Margie babysits for two families. Mr. and Mrs. Smith pay her $6.50 an hour to babysit their son, Shea. Mr. and Mrs. Jones pay Ma
rodikova [14]

Answer:

A) \$ 6.5\timesx is the expression to represent total amount of money she earns babysitting for Smith family.

B) \$45.5 she will earn for Smith family for 7 hours

C) It would take 12 \ hrs for Margie to make \$78 when babysitting for the Smith family

Step-by-step explanation:

Given.

Mr. and Mrs. Smith pay Margie \$6.50 an hour to babysit their son, Shea.

Mr. and Mrs. Jones pay Margie $8 an hour to babysit their children, Sarah, Susan, and Dawn.

Let x be number of hours.

Solving for Part A.

Amount of Money earn from Smith family = Pay per hour \times Number of hours =\$ 6.5 \times x= \$ 6.5x

Solving for Part B.

x=7

Margie earns from smith family for 7 hours = \$ 6.5x=\$6.5\times7=\$45.5

Solving for part C.

Margie earned = \$ 78

To find number of hours

No of hour Margie has done babysitting for Smith family x=\frac{\$78}{\$6.5}=12 \ hrs

6 0
3 years ago
​ Quadrilateral ABCD ​ is inscribed in this circle.
fgiga [73]
Assuming the sum of the  opposite angle would be 180. We can easily calculate for x and ultimately solve for the angle of B. We do as follows

B + D = 180
3x-12 + x = 180
4x - 12 = 180
4x = 192
x = 48 degrees

Therefore angle B would have a measurement of 132 degrees. Hope this helps.
3 0
3 years ago
Read 2 more answers
5x - 3(2x-4) is equivalent to 12 - x
Rudiy27
First you do: -3 (2x-4)
You get: -6x+12
Now you have: 5x-6x+12
5x-6x=-x
Now you have: -x+12
-x+12=12-x
So yes: 5x-3(2x-4)=12-x
5 0
3 years ago
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