The function \( h \) is defined as follows. \[ h(x)=\frac{4 x}{2 x-17} \] Find \( h(6) \). Simplify your answer as much as possible. If applicable, click

To find \( h(6) \), we substitute \( x = 6 \) into the function: \[ h(6) = \frac{4(6)}{2(6) - 17} \] First, calculate the numerator: \[ 4(6) = 24 \] Now, for the denominator: \[ 2(6) - 17 = 12 - 17 = -5 \] Putting it all together: \[ h(6) = \frac{24}{-5} = -\frac{24}{5} \] Thus, the simplified answer is: \[ h(6) = -\frac{24}{5} \]