Question

Evaluate g(5) given. Help please

Answer 1

`g(5) = (2)/(3)`

Explanation:

Piecewise function:

A piecewise function has a different rule depending on the input.

In this exercise:

If the input x is equal or less than two, the rule is
`|7 - x^2|`, and if it is greater than 2, the rule is:

`(x+1)/(2x-1)`

g(5)

The input is
`x = 5 > 2`, so the rule is:

`g(x) = (x + 1)/(2x - 1)`

At
`x = 5`

`g(5) = (5 + 1)/(2(5) - 1) = (6)/(9) = (2)/(3)`

The answer is
`g(5) = (2)/(3)`