<h3>
Answer: 15</h3>
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Work Shown:
d = common difference
p = first term = 24
q = second term = a+d = 24+d
r = third term = q+d = 24+d+d = 24+2d = 6
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Solve for d
24+2d = 6
2d = 6-24
2d = -18
d = -18/2
d = -9
We add -9 to each term to get the next term. This is the same as subtracting 9 from each term to get the next term.
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First term = 24
Second term = 24-9 = 15
Third term = 15-9 = 6
We get the sequence 24, 15, 6
Answer:
A. 4
Step-by-step explanation:
1. Use the SLOPE FORMULA: M= rise/run= y2-y1/x2-x1
2. Plug in the two coordinates that were plotted on the equation: (1,1) & (3,9)
3. Label the coordinates
( 1 , 1 ) = ( x1, y1 )& ( 3, 9 ) = ( x2, y2 )
4. SOLVE & PLUG IN
m = 9 - 1 / 3 - 1 = 8 / 2
5. Simplify 8/2 (Divide by 2)
6. answer: 4/1 = 4
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))
