Question

Can someone answer this for me ASAP please ?

Answer 1

Answer:

The expression which is equivalent to (k ° h)(x) is $\frac{1}{(5 + x)}$ ⇒ 2nd answer

Step-by-step 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) = $\frac{1}{x}$

∵ h(x) = 5 + x

- Replace the x of k by 5 + x

∴ k(5 + x) = $\frac{1}{5 + x}$

∴ The expression which is equivalent to (k ° h)(x) is $\frac{1}{5+x}$