Question

Express the given function h as a composition of two functions f and g so that

h(x)=(fog)(x)
h(x)= 1/8x+3 (this is a fraction)

Answer 1

To express the given function h as a composition of two functions, we can let g(x) = x and f(x) = 1/8x + 3.

Step-by-step explanation:

To express the given function h as a composition of two functions f and g, we need to find functions f(x) and g(x) such that (fog)(x) = h(x). Let's start by expressing h(x) = 1/8x + 3 as (fog)(x) = f(g(x)).

Let g(x) = x and f(x) = 1/8x + 3, then we have (fog)(x) = f(g(x)) = f(x) = 1/8x + 3.

Therefore, h(x) = (fog)(x) = f(g(x)) = 1/8x + 3, and the composition of the functions f and g is f(x) = 1/8x + 3 and g(x) = x.