The solution to the composite function f(g(x)) is 9x² - 78x + 165.
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What is composite function?</h3>
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))
Six tenths, one half, two fifths
Answer : 20 - 12y
Step-by-step explanation:
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Do a proportion. 41/100= 83/x. Now cross multiply and divide. 83 x 100= 8300 , 8300 divided by 41= 202.439 (I would just round it to nearest tenth). Answer is 202.4
