Question

F(x) =x2+2x-3 g(x)=3x-14

Answer 1

The solution to the composite function f(g(x)) is 9x² - 78x  + 165.

What is composite function?

A composite function is generally a function that is written inside another function.

Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.

From the given composite function, the solution is determined as follows;

to solve for f(g(x)), we use the following methods.

f(x) = x² + 2x - 3, g(x) = 3x - 14

f(g(x)) = (3x - 14)² + 2(3x - 14) - 3

         = 9x² - 84x + 196  + 6x - 28 - 3

         = 9x² - 78x  + 165

Thus, the solution to the composite function f(g(x)) is 9x² - 78x  + 165.

Learn more about composite function here: brainly.com/question/10687170

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The complete question is below:

F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))