Question

If g(x) =4x+2 and f(x) =3x-10 find g(f(3))

Answer 1

Answer:

$g(f(3))=-2$

Step-by-step explanation:

So we have the two functions:

$g(x)=4x+2\text{ and } f(x)=3x-10$

And we want to find g(f(3)).

So, let's find f(3) first:

$f(3)=3(3)-10$

Multiply:

$f(3)=9-10$

Subtract:

$f(3)=-1$

Therefore, we can substitute -1 for f(3):

$g(f(3))=g(-1)$

Now, find g(-1):

$g(-1)=4(-1)+2$

Multiply:

$g(-1)=-4+2$

Add:

$g(-1)=-2$

And we're done!

So:

$g(f(3))=-2$