Question

Given the function f(x)= x-3/4 , solve for its inverse, give a table of values for the inverse, and graph the inverse.

PLEASE SHOW SOLVING STEPS AND COMPLETE THE GRAPH.

Answer 1

The inverse of the function is y = 4x + 3

Given the function below

f(x)= x-3/4

Determine its inverse

y = x-3/4

x = (y - 3)/4

4x = y - 3

y = 4x + 3

Hence the inverse of the function is y = 4x + 3

Create a table of function

x f^-1(x)

1 7

2 11

3 15

4 19

5 23

Plot the graph of its inverse as shown