Answer:
-42.66666...
Step-by-step explanation:
-64 * 2/3 is -42.66666...
well, according to the calculator.
The solution to the composite function f(g(x)) is 9x² - 78x + 165.
<h3>
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))
Answer:
52.5 ft squared
Step-by-step explanation:
You just multiply each side to get volume.
Answer:
The inequality to determine the number of rotations is given by
r ≤ 5.25
Therefore the maximum number of rotations possible is 5.
Step-by-step explanation:
i.) The bottom of Ignacio's desktop is 74.5 cm from the floor.
ii.) The tops of his legs are 49.3 cm from the floor.
iii.) the difference between the bottom of Ignacio's desktop and the top of his legs = 74.5 - 49.3 = 25.2 cm.
iv.) Each clockwise rotation of the knob on the chair raises Ignacio's legs by 4.8 cm.
v.) let the number of clockwise rotations be r.
vi.) therefore the inequality to determine the number of rotations is given by
4.8r ≤ 25.2 therefore r ≤ 25.2/4.8 therefore r ≤ 5.25
