Question

Can someone please answer this for me ASAP ?

Answer 1

(g ° h)(-3) = 8/5 ⇒ first 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

∵ g(x) =
`(x+1)/(x-2)`

∵ h(x) = 4 - x

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

- Find (g ° h)(-3) means find h(-3) at first and then replace the value of

h(-3) by the x of g(x)

* Lets find h(-3)

∵ h(x) = 4 - x

- Replace the x by -3

∴ h(-3) = 4 - (-3) = 4 + 3 = 7

- Now find g(7), means replace x by 7

∵ g(x) =
`(x+1)/(x-2)`

∴ g(7) =
`(7+1)/(7-2)=(8)/(5)`

∴ (g ° h)(-3) = 8/5