Answer:
The parent function of f(x) = (x-2) (x-1) is
.
Step-by-step explanation:
Here, f(x) = (x-2) (x-1)
Now, parent function of a given function is the function, which is PRODUCT OF ALL IT S FACTORS.
Now, here, f(x) has two factors ( x- 2) and ( x-1)
So, the parent function p(x) of f(x) is given as the product of both the factors.
So, we get:

Hence, here the parent function of f(x) = (x-2) (x-1) is
.
Answer:

Step-by-step explanation:
We have,
Height of a cone is 12 feet
Volume of the cone is 90 feet
It is required to find the area of the base of the cone.
The base of a cone is circular in shape.
The formula used to find the volume of a cone is given by :

here,
(area of base of cone)

So, the area of the base of the cone is
.
Answer:
The equation has no solution.
Step-by-step explanation:
Hi there!
First, let´s write the equation:
(√x + 3) + 6 = 3
To solve the equation, let´s subtract 6 to both sides of the equation:
√x + 3 = -3
subtract 3 to both sides of the equation:
√x = -6 (the square root of any number can´t be negative, but let´s solve it anyway and then check the solution).
Square both sides of the equation:
x = 36
Now, let´s check the solution:
(√x + 3) + 6 = 3
x = 36
(√36 + 3) + 6 = 3
(6 + 3) + 6 = 3
9 + 6 = 3
15 ≠ 3
Then, the equation has no solution.
Have a nice day!