I need help Given the following functions: f(x) = x2 g(x) = 2 x - 3 Find the composition of the two functions and show your process: f(g(x))

Puneet Verma asked Nov 8, 2022

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20 votes

I need help

Given the following functions:

f(x) = x2
g(x) = 2 x - 3

Find the composition of the two functions and show your process:

f(g(x))

Puneet Verma asked Nov 8, 2022

2.6k points

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9 votes

Answer:

f(g(x)) = 4x² - 12x + 9

Explanation:

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

f(g(x))

= f(2x - 3)

= (2x - 3)² ← expand using FOIL

= 4x² - 12x + 9

Wonay answered Nov 12, 2022

by Wonay

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