What is the inverse of the given function? y = 3x + 9.

Solution:

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.

A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math. f = {(a,b)| for all a ∈ A, b ∈ B}

Given function y = 3x + 9

The inverse of a function f is denoted by f^-1 and it exists only when f is both one-one and onto function. 

f(x) = y

=> f⁻¹(y) = x

y - 9 = 3x

x = (y - 9)/3 = f⁻¹(y)

Swap x and y

y = (x - 9) /3 this is the required inverse of the given function.

Therefore, the inverse of the function y = 3x + 9 is y = x - 9 /3.

What is the inverse of the given function? y = 3x + 9.

Summary:

The inverse of the given function y = 3x + 9 is y = x - 9 /3.