How do you find the inverse of #f(x)= 5x + 10#?

1 Answer
Feb 14, 2016

The inverse of a function is the relation that is formed when the function is transformed over the line #y = x#

Explanation:

The inverse can be found algebraically by switching x for y and y for x in the equation. You must then isolate y.

#f(x) = 5x + 10#

#y = 5x + 10#

#x = 5y + 10#

#x - 10 = 5y#

#(x - 10)/5 = y#

So, #f^-1(x) = (x - 10)/5#

Practice exercises:

  1. Find the inverse of the following functions:

a) #f(x) = 3x + 4#

b) #g(x) = sqrt(4x - 1)#

c) #h(x) = 2/(2x - 3)#

Good luck!