Question

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

Oh(x) =
1
2
1
h(x)
hox) = 2x -
*x +
3x - 2
h(x)
Dh(x) 3x + 2

Answer 1

To find the inverse of the function f(x) = 2x + 1, we interchange x and y and solve for y, giving us the inverse function h(x) = (x - 1) / 2. So the inverse function, h(x), is h(x) = \frac{x - 1}{2}.

Step-by-step explanation:

The question asks for the inverse of the function f(x) = 2x + 1. To find the inverse, we interchange x and y and solve for y in terms of x. Here's the step-by-step process:

• Starting with f(x) = y = 2x + 1.
• Switch x and y to get x = 2y + 1.
• Solve for y by subtracting 1 from both sides: x - 1 = 2y.
• Finally, divide both sides by 2 to isolate y: \(y = \frac{x - 1}{2}\).

So the inverse function, h(x), is h(x) = \frac{x - 1}{2}.