177k views
2 votes
F(x) = x2. What is g(x)?
g(x)

1 Answer

4 votes

Answer:

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

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

User Migi
by
7.3k points