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

Question

asked Feb 9, 2021 202k views

1 Answer

Umesh Mishra · Answer 1 · 2021-02-16T19:08:10+0000

Answer:

B

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!