Question

If f(x)=4x-1 and g(x)=x^2+7 ,find G(f(x))

Answer 1

`g(f(x))=(4x-1)^2+7=16\,x^2-8x+8`

Explanation:

Given:

`f(x)=4x-1\\and \\g(x)=x^2+7`

Then the composition of functions:

`g(f(x))=g(4x-1)=(4x-1)^2+7= (16\,x^2-8x+1)+7=16\,x^2-8x+8`

where we have written the final functional expression in its standard form.