What is the inverse of the function f(x) = 2x + 1?

2 Answers
Feb 20, 2018

y=0.5(x1)

Explanation:

To find the inverse of a function, you have to substitute y for x in the equation and simplify to get a normal equation again. In this case, f(x) is y.

y=2x+1

x=2y+1

2y+1=x

2y=x1

y=0.5(x1)

So there you have it.

Feb 20, 2018

f1(x)=x12

Explanation:

f(x)=y

y=2x+1

Switch the places of x and y:

x=2y+1

Now, solve for y so the function is once again written in terms of x:

2y=x1

y=x12

f1(x)=x12

Where f1(x) denotes that the function is an inverse of the original function.