Answer:
True.
Step-by-step explanation:
Remember that the horizontal line test checks if a function is one-to-one. If a horizontal line passes through a graph more than once, the function has more than one x-value for at least one y-value.
First look at the points and find their x and y values. So we have:
(-3,3), (0,0), (3,3)
Next separate the x values and the y values
x values: -3, 0, 3
y values: 3, 0, 3
The x values are your domain and the y values are are range
So the answer is b
Answer:
When we have a function g(x) such that:
g(x) = y.
Then the inverse, h(x), must be such that:
h(y) = x.
This means that:
g( h(x) ) = x
h( g(x) ) = x.
In this case, g(x) = 41*x^3 + a.
Then:
g( h(x)) = x = 41*h(x)^3 + a.
Now we can solve it for h(x).
x - a = 41*h(x)^3
(x - a)/41 = h(x)^3
∛( (x -a)/41 ) = h(x)
h(x) is the inverse function of g(x).