h(5) means the value of h(x) at x = 5. So what we have to do is to substitute x = 5 in the function.
We are given the function h(x) below:
![\large{h(x) = (6)/(x - 3) }](https://img.qammunity.org/2022/formulas/mathematics/college/sjh1q53v9qu77k5rc480mb7vejb44tmt83.png)
Substitute x = 5 in the equation.
![\large{h(5) = (6)/(5 - 3) \longrightarrow (6)/(2) }](https://img.qammunity.org/2022/formulas/mathematics/college/wm2kmd10btkhi5rbeyx99kjournmiyg7vk.png)
Simplify in the simplest form.
![\large{h(5) = (3)/(1) \longrightarrow 3}](https://img.qammunity.org/2022/formulas/mathematics/college/oyvcvsxpyqirmw8x71t937vo79w5y37r0r.png)
Thus h(5) is 3.
Answer
Hope this helps! Let me know if you have any doubts.