Question

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

1
Oh(x) =
Ex-
2
2
O h(x)
1
2
1
2
h(x) =
Ex-
- 3x + 2
h(x) =
X
+
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Answer 1

The inverse function is
`f^(-1)(x) = (x-1)/(2)`

Explanation:

We have the following function:

y = 2x + 1

Finding the inverse:

Exchange y and x, and then isolate y again. So

y = 2x + 1

Exchange y and x

x = 2y + 1

2y = x - 1

`y = (x-1)/(2)`

So

The inverse function is
`f^(-1)(x) = (x-1)/(2)`