Question

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

Answer 1

`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!