Question

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

Answer 1

The numeric value of the composite function at x = 2 is given as follows:

(f ∘ g)(2) = 33.

Composite function

The composite function of f(x) and g(x) is given by the rule presented as follows:

(f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

In the context of this problem, the functions are given as follows:

• f(x) = x² - 3x + 5.

• g(x) = -2x.

The composite function is:

(f ∘ g)(x) = f(-2x) = (-2x)² - 3(-2x) + 5 = 4x² + 6x + 5.

At x = 2, the numeric value is given as follows:

(f ∘ g)(2) = 4(2)² + 6(2) + 5 = 33.

Learn more about composite functions at brainly.com/question/10687170

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