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))
<h3>Calculate the volume of the sphere</h3>
To start finding the volume of this sphere, we get the following data:
To find the volume we apply the following formula:
, where
- v = volume
- π = pi
- r = radius
We substitute our data in the formula and solve:
Substituting values into the equation
Calculate exponent cubed
Multiplying
Therefore, the volume of the sphere is 32 ft³.
728x^2y^3 hope this helps
In order to answer the question we need the lengths to do the math.
Answer:
2
Step-by-step explanation:
On the first side it shows 5 ones. If you add 5 by 2 it’s 7. Then on the other side it shows 3 X’s. 3x2 is 6. Plus you add that 1 which makes it 7.
Hope this Helps :)
