The equation of the inverse function of the function f(x) = x + 5 is f'1(x) = x - 5
What are inverse functions?
Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function
How to determine the inverse functions?
The function f(x) is given as
f(x) = x + 5
As a general rule, we start by writing f(x) as a variable (say f(x) = y).
So, the equation of the function becomes
y = x + 5
The next step is to switch/swap the positions of x and y in the above equation y = x + 5
The equation becomes
x = y + 5
The next step is to make y the subject of the formula in the above equation x = y + 5
The equation becomes
y = x - 5
This is done by subtracting 5 from both sides of the equation.
So, we have:
y = x - 5
Express as an inverse function
f'1(x) = x - 5
Hence, the inverse function of the function f(x) = x + 5 is f'1(x) = x - 5
Read more about inverse equations at:
brainly.com/question/14391067
#SPJ1
