Question

Is this correct

What is the value of g(4)?
10
12
14
16
​

Answer 1

A

Explanation:

Answer 2

Correct option is (b) 12. The value of g(4) is 12.

The function g(x) is defined piecewise:

For
`\(0 \leq x < 4\), \(g(x) = 2 + 3x\).`

For
`\(4 \leq x < 8\), \(g(x) = 0.5x + 10\).`

For
`\(x \geq 8\), \(g(x) = 16\).`

To find g(4), we refer to the second piece of the function because the input x = 4 falls within the range
`\(4 \leq x < 8\)`. Substituting x = 4 into the second piece of the function gives us:

`\[g(4) = 0.5 * 4 + 10 = 2 + 10 = 12\]`

Hence, g(4) = 12. This value corresponds to the output of the function when the input x is 4 within its defined range.