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

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

10000

step-by-step explanation: divide by 2,