Question

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

find g(f(3))

Answer 1

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

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`