Question

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

Answer 1

g(x) = 5x + 1

Explanation:

Given data

We have the following expressions to work with

f(x) = 2x − 6 and

g(x) = 5x + 1

say the value of x = 3

let us put x into the two expressions above and compare the output

f(x) = 2*3 − 6= 6-6= 0

g(x) = 5*3 + 1= 15+1= 16

Hence the second function has the greatest output