Question

Given f(x) = 3x⁵, find the domain value if the range value is -16.

a) x = 2
b) x = -2
c) x = 1
d) x = -1

Answer 1

To find the domain value for a given range value -16 of the function f(x) = 3x⁵, divide both sides of the equation by 3 and take the fifth root of the resulting quotient.

Step-by-step explanation:

The range value for the given function, f(x) = 3x⁵, is -16. To find the corresponding domain value, we need to solve the equation 3x⁵ = -16 for x.

First, divide both sides of the equation by 3 to isolate x⁵. This gives us x⁵ = -16/3.

Next, take the fifth root of both sides to solve for x. The fifth root of -16/3 represents a real number that satisfies the equation. Therefore, the domain value is x = -(∖16/3)⁻¹∕5.