Question

F(x)=-2x^2 -5x+1

Answer 1

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!