AzuriL690036 AzuriL690036
  • 04-11-2022
  • Mathematics
contestada

Hi, can you help me to solve this exercise, please !

Hi can you help me to solve this exercise please class=

Respuesta :

JitzelE145628 JitzelE145628
  • 04-11-2022

-3

1) Let's work with this composite functions regarding f(x)= 3x +5, and g(x)=5-x

f(g(x)) In this case let's plug into the x variable of f(x) the function g(x)

a) f(g(x)) = 3(5-x) +5 = 15-3x+5=-3x+20

b) g(f(x))= 5-(3x+5) =5 -3x-5 = -3x

c) In this case, we can pick the composite function f(g(x)) and then plug into that x=0

f(g(x))=-3x +20

f(g(0))=-3(0)+20

f(g(0))= 20

2) Hence, the answer is:

f(g(x)) = 3(5-x) +5 = -3x+20

g(f(x))=-3x

f(g(0))=20

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