Answer:
Step-by-step explanation:
Given
Required
Find
First, we calculate the inverse function
Express f(x) as y
Swap the positions of x and y
Solve for y: Add 4 to both sides
Square both sides
Divide both sides by 2
Express y as an inverse function
Next, solve for:
Substitute 6 for x
Answer:
The polynomial will be .
Step-by-step explanation:
The three degree polynomial function f(x) has zeros at x = 0 and at x = 4 having multiplicity 2.
Therefore, (x - 0) and (x - 4)² will be factors of the polynomial f(x).
Hence, the polynomial will be f(x) = Ax(x - 4)² .............. (1), where A is any constant that we have to evaluate.
Now, given that f(5) = 20
So, from the equation (1) we have
20 = A(5)(5 - 2)²
⇒
Therefore, the polynomial will be (Answer)