Question

If f(x)=2x and g(x) = x-4 what is the value of g(f(3)) ?

Answer 1

The value of g(f(3)) = 2

Explanation:

We are given:

`f(x)=2x`

`g(x) = x-4`

And we need to find g(f(3))

First we need to find g(f(x))

by putting the value of f(x) into g(x) i.e put x = 2x

`g(x)=x-4\\g(f(x))=2x-4`

Now, we need to find g(f(3)) by putting x = 3 in g(f(x))

`g(f(x))=2x-4\\Put\: x=3\\g(f(3))=2(3)-4\\g(f(3))=6-4\\g(f(3))=2`

So, the value of g(f(3)) = 2