Answer:
Given function
#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:
#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
