Question

For the functions f(x) = 2x − 6 and g(x) = 5x + 1, which composition produces the greatest output?

Answer 1

Hello,

(gof)(x)= f(g(x)

is the composition which produces the greater output

Explanation:

(fog)(x)= g(f(x))

=g(2x-6)

=5(2x-6)+1

=10x-29

(gof)(x)=f(g(x))

=f(5x+1)

=2(5x+1)-6

=10x-4

But for all real, 10x-29 < 10-4