Answer:
[tex]g(f(x))=(4x-1)^2+7=16\,x^2-8x+8[/tex]
Step-by-step explanation:
Given:
[tex]f(x)=4x-1\\and \\g(x)=x^2+7[/tex]
Then the composition of functions:
[tex]g(f(x))=g(4x-1)=(4x-1)^2+7= (16\,x^2-8x+1)+7=16\,x^2-8x+8[/tex]
where we have written the final functional expression in its standard form.
