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:
<u>10°C average temperature</u>
Step-by-step explanation:
Average Temperature = Lowest + 17
= -7 + 17
= 17 - 7
= <u>10°C average temperature</u>
X is the second side. Side 1 is s-5. side 3 is s-2 (s-5+3). They all must add up to 17. Well there is your answer right there. S-2
Answer:
(x+3)^2+(y−3)^2=9
Step-by-step explanation:
The equation for a circle is given by
(x−h)^2+(y−k)^2=r^2 where (h,k) is the center and r is the radius
(x− -3)^2+(y−3)^2=3^2
(x+3)^2+(y−3)^2=9
Answer:
It will take 6/13 hours to walk one mile
Step-by-step explanation:
Here, we want to calculate the number of hours it take to walk one mile
From the question, 1 1/2 miles take 3 1/4 hours
the number of hours it will take to walk 1 mile will be;
1 1/2 divided by 3 1/4
= 3/2 divided by 13/4
= 3/2 * 4/13 = 6/13 hours
