sebastianariel58923
sebastianariel58923 sebastianariel58923
  • 30-12-2021
  • Mathematics
contestada

Given the function f(x) = 3x - 2 and g(x) = 5x + 4 , determine each of the following in simplest terms of x.

Given the function fx 3x 2 and gx 5x 4 determine each of the following in simplest terms of x class=

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jimrgrant1 jimrgrant1
  • 30-12-2021

Answer:

see explanation

Step-by-step explanation:

(a)

Substitute x = g(x) into f(x) , that is

f(5x + 4)

= 3(5x + 4) - 2

= 15x + 12 - 2

= 15x + 10

(b)

note (g ○ f)(x) = g(f(x))

Substitute x = f(x) into g(x) , that is

g(3x - 2)

= 5(3x - 2) + 4

= 15x - 10 + 4

= 15x - 6

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