Question

Please help! h(17) = _____

Answer 1

The value of h(17) = 17.

Based on the given information, here's how to solve for h(17):

1. Identify the relevant rule:

The information provided defines different rules for h(t) depending on the value of t:

If t = 17, then h(t) = √17t.

If t = 19, then h(t) = -34/t.

If t is neither 17 nor 19, then h(t) = 23 - t.

Given the piecewise function:

`\[ h(t) = \begin{cases} √(17t) & \text{if } t = 17 \\-(34)/(t) & \text{if } t = 19 \\23 - t & \text{otherwise}\end{cases}\]`

To find \(h(17)\), we look at the first case:

`h(17) = √(17 * 17) \]\\h(17) = √(289) \]\\h(17) = 17 \]`

Therefore,
`\( h(17) = 17`.