Question

If f(x) = x² - 3x + 5 and g(x) = -2x, find the following composition. (f o g)(2)

Answer 1

The composition of the function, (f o g)(2) = 33.

How to Evaluate the Composition of Functions?

To evaluate the composition of functions, find the value of the inner function, then evaluate the value of the outer function using the output of the inner function as the input.

Given the following:

f(x) = x² - 3x + 5

g(x) = -2x.

To find the composition, (f o g)(2), find g(2) first:

g(2) = -2(2)

g(2) = -4

Substitute x = -4 into x² - 3x + 5 to find (f o g)(2):

(f o g)(2) = (-4)² - 3(-4) + 5

(f o g)(2) = 16 + 12 + 5

(f o g)(2) = 33

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