Question

Can someone please answer this for me ASAP ?

Answer 1

Answer:

(g ° h)(-3) = 8/5 ⇒ first 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

∵ g(x) = $\frac{x+1}{x-2}$

∵ 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) = $\frac{x+1}{x-2}$

∴ g(7) = $\frac{7+1}{7-2}=\frac{8}{5}$

∴ (g ° h)(-3) = 8/5