More Lessons for Algebra
We have learned that a function f maps x
The inverse of f is a function which maps f(x
) to x
The inverse of the function f is denoted by f-1
The inverse of a function is found by interchanging its range and domain. The domain of F
becomes the range of the inverse and the range of F
becomes the domain of the inverse of F
. The inverse of a function is not always a function and should be checked by the definition of a function. A function only has an inverse if it is one-to-one.
How to get the inverse of a function?
The steps involved in getting the inverse of a function are:
Step 1:. Replace f(x) with y
Step 2: Move y to the right side of the equation
Step 3: Make x the subject of the equation
Step 4: Replace x by f-1(x) and replace y by x
The following example illustrates these steps.
Find the inverse of each of the following functions:
a) f(x) = 2x + 3
b) g(x) = – 5
c) h(x) =
a) Rewrite f(x) = 2x + 3 as y = 2x + 3.
Inverse of a Function
Learn how to find the inverse of a function, step by step example.
Finding the Inverse of a Function
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