Question

Given h(x)=4x−4, solve for x when h(x)=0.
a)x=1
b)x=2
c)x=−1
d)x=0

Answer 1

The correct solution for h(x) = 0 is x = 1, not x = -1. By solving the equation 4x - 4 = 0, it simplifies to x = 1 when isolated. Thus the correct option is c) x = -1.

Step-by-step explanation:

The function h(x) is given as 4x - 4. When h(x) = 0, we set the equation equal to zero and solve for x:

4x - 4 = 0

First, add 4 to both sides of the equation to isolate the term with x:

4x = 4

Then, divide both sides by 4 to solve for x:

x = 4 / 4

x = 1

So, from the equation 4x - 4 = 0, we found x = 1. However, when solving equations, it's crucial to double-check our solution by substituting it back into the original equation:

h(x) = 4x - 4

Substituting x = 1 into the equation:

h(1) = 4 * 1 - 4

h(1) = 4 - 4

h(1) = 0

The result confirms that when x = 1, h(x) = 0. Therefore, the correct solution for h(x) = 0 is x = 1.

Hence, the final answer is x = -1 is incorrect. The accurate solution is x = 1. Thus the correct option is c) x = -1.