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Consider the functions f(x)=4x^2-x and g(x)=2x+5. find f•g(-3) and g•f(-3)

1 Answer

3 votes

Answer:

f•g(-3) = 5 and g•f(-3) = 173

Explanation:

f•g(-3):

1. Apply function g to x = -3 to get y = 2(-3) + 5 = -1.

2. Apply function f to y = -1 to get z = 4(-1)^2 - (-1) = 5.

g•f(-3):

1. Apply function f to x = -3 to get y = 4(-3)^2 - (-3) = 83.

2. Apply function g to y = 83 to get z = 2(83) + 5 = 173.

Therefore, f•g(-3) = 5 and g•f(-3) = 173 .

In short, function composition is when you apply one function to the output of another function.

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User Mariux
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