The input value is the same output value as that of an input of -8 is x = 18
Which input value is the same output value as that of an input of -8?
We want to see which value of x makes the same output as x = -8, then we need to solve:
f(x) = f(-8)
(x - 5)² = (-8 - 5)²
Let's solve this for x.
(x - 5)² = (-13)²
The only value of x that makes this equation true (other than x = -8) is a value of x such that:
x - 5 = 13
Solving for x:
x = 13 + 5
x = 18
This is the input.
Complete question:
"a function is given by the rule y=(x-5)² which input value is the same output value as that of an input of -8?"