Question

Are the following functions inverses ? Answer yes or no

Answer 1

To find the inverse of a function, switch x and y and solve for y

y = 3x+5

x = 3y+5

x-5 = 3y

1/3x -5/3 = y

The inverse is 1/3x - 5/3

The two functions are inverses

y = 2x+3

x = 2y+3

x-3 = 2y

1/2x -3/2 =y

y =2x+3 and y= -2x-3 are not inverses