Question

If f(x) = 2x – 1 and g(x) = – 2, find [g ◦ f](x).

Answer 1

[g ◦ f](x)=-2

Explanation:

f(x) = 2x – 1

g(x) = – 2

[g ◦ f](x)

This is a composite function. It means we take f(x) and substitute it in for x in the function g(x)

g(x) = -2

There is no x in the function, so g(x) remains the same

[g ◦ f](x)= -2

Answer 2

Explanation:

Wherever you see an x in g(x) you are supposed to put f(x).

If g(x) = x

then

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

g(x) = f(x)

Since g(x) has no xs, then g(f(x)) = - 2

g(x) = -2 no matter what x is in g(x)

g(2x - 1) = - 2