F (x) = x2. What is g (x) ?

g (x)

f (x) = x2 g (x) = 5x

Step-by-step explanation:

f (x) = x2 g (x) = 5x

There are two composite functions we could get from this:

f (g (x)) or (fog) (x)

g (f (x)) or (gof) (x)

f (g (x)) = f (5x) = (5x) 2 = 25x2 Domain = all real numbers

g (f (x)) = g (x2) = 5x2 Domain = all real numbers

Note that the composite of two functions is NOT the same

as multiplying the two functions together.

f (x) * g (x) = x2 (5x) = 5x3