Answer:
A
Step-by-step explanation:
The rule is, whenever you plug in g(x) into f(x) or vice versa, they always must equal x. So if you plugged in g(x) into f(x), then the outcome should be <em>x</em>. If the output is not x, then they are not inverses.
Answer:
x=-1 and x=3
Step-by-step explanation:
The zeroes of a function are its x-intercepts when the function passes through the x-axis. In this case, the parabola passes through (0,-1) and (0,3) which means the x-intercepts are x=-1 and x=3, which are also the zeroes.
Answer:
0
Step-by-step explanation:
This equation is in "vertex form," meaning that you can identify the vertex and other features of the graph from the equation.
y = a(x -h)² +k . . . . . the vertex is (h, k); the vertical scale factor is "a"
Comparing to your equation, you see ...
a = -1/2, h = 3, k = -1
The vertex is (h, k) = (3, -1). The vertical scale factor is negative.
__
This tells you the graph opens downward (the scale factor is negative), and the vertex (maximum point) is below the x-axis. (It has a negative y-coordinate.)
Because it start below the x-axis and goes down from there, the graph does not intersect the x-axis. There are zero (0) x-intercepts.