Question

For the given functions f and g, find the indicated composition:

f(x) = x - 10/4, g(x) = 4x + 10
(g*f)(x)


HINT: the answer is x but I dont know how to show the work for it.

Answer 1

Answer: x

Explanation:

g(x) = 4x + 10 f(x) =
`(x - 10)/(4)`

to find g(f(x)), replace "x" in the g(x) equation with what f(x) equals. Another way of writing g(f(x)) for this problem is: g(
`(x - 10)/(4)`).

g(f(x)) = 4
`((x - 10)/(4))` + 10

= x - 10 + 10

= x