Question

Using ƒ(x) = 3x − 3 and g(x) = -x, find g(ƒ(x)).

Answer 1

We conclude that:

g(f(x)) = -3x+3

Explanation:

Given

• f(x) = 3x-3

• g(x) = -x

To determine

• g(f(x)) = ?

In order to determine g(f(x)), first we need to substiute f(x) = 3x-3 in g(f(x)).

g(f(x)) = g(3x-3)

now substitute x = 3x-3 in g(x)

= -(3x-3)

= -3x+3

Therefore, we conclude that:

g(f(x)) = -3x+3