Question

Given f(x) = log x and g(x) = -x + 1,
which is the graph of (fºg)(x)?

Answer 1

(f • g)(x) = log (-x + 1)

Explanation:

Here is a composite function

What we simply have to do here is to make a substitution

the substitution we are going to make is that we will substitute the value of x in f(x) with the entirety of g(x)

This simply mean that we replace every x we find in f(x) with the entire equation of g(x)

we have this as;

f(g(x)) = log (-x + 1)