Question

Consider the following function.

h(x)=(x−4)2−1
Step 2 of 4 : Find the x-intercepts, if any. Express the intercept(s) as ordered pair(s).

Answer 1

To find the x-intercepts of the function h(x) = (x - 4)^2 - 1, we need to set h(x) equal to zero and solve for x:

0 = (x - 4)^2 - 1

Adding 1 to both sides, we get:

1 = (x - 4)^2

Taking the square root of both sides, we get:

±1 = x - 4

Adding 4 to both sides, we get:

x = 4 ± 1

Therefore, the x-intercepts of the function h(x) are (3, 0) and (5, 0).