F(x)=-2x^2 -5x+1 H(x)=3(x+3)^2-11 H(f(-1))=? A.132 B. 136 C.140 D.144

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bluphi

High School

F(x)=-2x^2 -5x+1
H(x)=3(x+3)^2-11

H(f(-1))=?

A.132
B. 136
C.140
D.144

Leave an answer

Our People Answers

1

(Based on todays review)

xKelvin

Answer:
B
Step-by-step explanation:
So we have the two functions:
$f(x)=-2x^2-5x+1\text{ and } h(x)=3(x+3)^2-11$
And we want to find:
$h(f(-1))$
So, find f(-1) first. Substitute -1 into f(x):
$f(-1)=-2(-1)^2-5(-1)+1$
Square:
$f(-1)=-2(1)-5(-1)+1$
Multiply:
$f(-1)=-2+5+1$
Add:
$f(-1)=4$
Now, substitute this into h(f(-1)):
$h(f(-1))=h(4)$
So, substitute 4 into h(x):
$h(4)=3(4+3)^2-11$
Add:
$h(4)=3(7)^2-11$
Square:
$h(4)=3(49)-11$
Multiply:
$h(4)=147-11$
Subtract:
$h(4)=136$
So, our answer is B.
And we're done!
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