Question

Given f(x)=2x−2, find the roots of 3(f(x)−2) using the mapping rule.

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

Answer 1

The root of the expression 3(f(x)-2), given the function f(x) = 2x-2, is x = 2 after simplifying and solving the quadratic equation.

Step-by-step explanation:

The student is asking for the roots of the expression 3(f(x)-2) given the function f(x)=2x-2. To find the roots we need the expression to equal zero so we set up the equation 3(f(x)-2) = 0 and substitute the function into it, which leads to 3((2x-2)-2) = 0. simplifying, we get the quadratic equation 6x - 12 = 0. to find the value of x, we can then divide both sides by 6 leading to x - 2 = 0. the root is simply x = 2.