If f(x) = 7x+6 and g(x)=8x-4 find f(g(-2))

Question

asked Oct 2, 2021 168k views

1 Answer

Kevin Suttle · Answer 1 · 2021-10-08T18:05:05+0000

Answer:

f(g(-2))=-134

Explanation:

So we have the two functions:

$f(x)=7x+6\text{ and } g(x)=8x-4$

And we want to find f(g(-2)).

First, let's find g(-2):

g(-2)=8(-2)-4

Multiply:

g(-2)=-16-4

Subtract:

g(-2)=-20

Now, substitute:

f(g(-2))=f(-20)

Now, find the value of f(-20):

f(-20)=7(-20)+6

Multiply:

f(-20)=-140+6

Add:

f(-20)=-134

So:

f(g(-2))=-134

And we're done!