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

Step-by-step 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

[g ◦ f] (x) = -2

Step-by-step 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