Task 1 Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.
f(x)=( x + a )
b

g(x) = cx − d

Part 2. Show your work to prove that the inverse of f(x) is g(x).

Part 3. Show your work to evaluate g(f(x))

c = 1 and a,d can take any value such that a = d

Step-by-step explanation:

Function is a relative in which every element of domain has a unique image in the co-domain.

An inverse of a function exists if it is one-one and onto.

A function is onto if every element of the co-domain has a preimage in domain.

A function is said to be one to one if elements of the domain have different images in the co-domain.

On comparing  and , we get c = 1 and a = d.

So, c = 1 and a,d can take any value such that a = d

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1