4.
Find the domain of the following function:
y = x3 − 8

x2 + 9

Select the appropriate response:
A) 483xy
B) domain: all values of y
C) all values of x
D) Not possible to solve

C) all values of x

Step-by-step explanation:

The denominator has no real roots which means it's not 0 for any x. Hence x can take any real value

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

i hope this is what you were looking for.

see attached graph