Answer:
C. 3
Explanation:
You cannot divide by 0.
So plug in g(x) into f(x) in the denominator. The numerator is irrelevant so you don't need to worry about it.
Solve for what value of x will give you a denominator of 0.
I just eyeballed this and found that x=3 give you a denominator of 0.
or you can just plug in and check all the answer choice.
Answer: D [-1,1]
is the inverse of function g(x).
the inverse equation of g(x) = sin(x):
sin(y) = x
y = (x)
using a trig circle with radius 1, we can find out that the max values of sin(x) are 1 and -1, so the domain of the inverse of sin(x) must be [-1,1]
**Note: if allowed during AP test, test from school. or assignment, you can use your graphing calculator to graph (x)
