Question

Mhanifa can you please help? I will mark brainliest!

Answer 1

Answer:

Given function

• h(x) = 2x - 1

#15 Find the inverse of h(x)

Substitute x with y and h(x) with x and solve for y:

• x = 2y - 1
• 2y = x + 1
• y = 1/2x + 1/2

The inverse is:

• h⁻¹(x) = 1/2x + 1/2

#16 The graph with both lines is attached.

The x- and y-intercepts of both functions have reversed values.

#17 Table of the inverse function  will contain same numbers with swapped domain and range.

Initial look is like this:

• x        |  -3  |  -2  | -1  |  0  |    1  |  2  | 3
• h⁻¹(x)  |  -1   |       | 0   |      |    1  |      | 2

The rest of the table is filled in by finding the values:

• x        |  -3  |  -2    | -1  |  0   |  1  |  2   | 3
• h⁻¹(x)  |  -1   | -0.5 |  0  | 0.5 |  1  | 1.5 | 2