f(x) = -4x^2+12x-9f(x)=−4x 2 +12x−9f, left parenthesis, x, right parenthesis, equals, minus, 4, x, squared, plus, 12, x, minus,
Olin [163]
Answer:
The graph has only one x-intercept
Step-by-step explanation:
we have

we know that
The discriminant of a quadratic equation of the form
is equal to
in this problem we have

so

substitute
The discriminant is zero
That means ----> The quadratic equation has one real solution
The graph has only one x-intercept
Answer:

Step-by-step explanation:
To find the values of
for which, the value of
belongs to
,we solve the inequality;

We multiply through by 8 to obtain;

We subtract 3 to get

Divide through by -1 to obtain;

Or

Answer:
A) The functions are not inverses of each other.
Step-by-step explanation:

The result of f(g(x)) is not always x, so the functions are not inverses of each other.
In general, a quadratic (or any even-degree polynomial) such as g(x) cannot have an inverse function because it does not pass the horizontal line test.
There an infinite number of solutions that can be generated by giving different values