Question

Can someone answer this for me ASAP please ?

Answer 1

The expression which is equivalent to (k ° h)(x) is
`(1)/((5 + x))` ⇒ 2nd answer

Explanation:

* Lets explain the meaning of the composition of functions

- Composition of functions is when one function is inside of an another

function

# If g(x) and h(x) are two functions, then (g ° h)(x) means h(x) is inside

g(x) and (h ° g)(x) means g(x) is inside h(x)

* Now lets solve the problem

∵ h(x) = 5 + x

∵ k(x) = 1/x

- We need to find (k ° h)(x), that means put h(x) inside k(x)

* Lets replace the x of k by the h(x)

∵ k(x) =
`(1)/(x)`

∵ h(x) = 5 + x

- Replace the x of k by 5 + x

∴ k(5 + x) =
`(1)/(5 + x)`

∴ The expression which is equivalent to (k ° h)(x) is
`(1)/(5+x)`