Question

Determine the input value for which the statement

f(x) = g(x) is true.
From the graph, the input value is approximately .
f(x) = 3 and g(x) = x – 2
3 = x – 2
5 = x
The x-value at which the two functions’ values are equal is .

Answer 1

The x-value at which the two functions' values are equal is 5.

Explanation:

Let
`f(x) = 3` and
`g(x) = x-2`, if
`f(x) = g(x)`, then:

`x - 2 = 3`

`x = 3+2`

`x = 5`

The x-value at which the two functions' values are equal is 5.