Part a)
a) The given function is

We let

Interchange x and y.

Solve for y;



Part b) The range of f(x) refers to y-values for which f(x) exists.
The range of f(x) is

This is because the function is within y=-3 and y=3.
c) The range of

is

The domain is -3≤x≤3
This is because the domain and range of a function and its inverse swaps.
Part d) The graph is shown in the attachment.
Area is the length times the width.
When you know the area and one of the dimensions, divide the area by the known dimension to find the other one.
133 / 11 = 12.09
The room needs to be at least 12.09 feet wide. ( round answer if needed).
Answer:
Option A
then you would have an angle, a side and another angle (ASA) next to each other
Opt.B would be a second sude (SAS)
Opt.C is already given
Opt.D seems to be like (A-S-S). no pun intended.
For similar figures, the ratio of areas is the square of the ratio of linear dimensions. The smaller billboard requires
.. (4/5)^2 * 250 ft^2 = 160 ft^
of material.