Answer:
The expression which is equivalent to (k ° h)(x) is [tex]\frac{1}{(5 + x)}[/tex] ⇒ 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) = [tex]\frac{1}{x}[/tex]
∵ h(x) = 5 + x
- Replace the x of k by 5 + x
∴ k(5 + x) = [tex]\frac{1}{5 + x}[/tex]
∴ The expression which is equivalent to (k ° h)(x) is [tex]\frac{1}{5+x}[/tex]
