Step-by-step explanation:
Mid point formula ,
x = (x1+x2)/2 , y = (y1+y2)/2
x = 1 , y = 4
therefore ,midpoint is (x, y)= (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))
Answer:
D. √((2 +4)² +(5 -8)²)
Step-by-step explanation:
The distance is found using the formula ...
d = √((x1 -x2)² +(y1 -y2)²)
Selection D has this formula properly filled in with the values ...
(x1, y1) = (2, 5)
(x2, y2) = (-4, 8)
Given:
The statement is "-3 raised to the power 0".
To find:
The value of the given expression.
Solution:
We know that 
raised to the power 
can be written as 
.
Any non zero number raised to the power 0 is always 1. It means,
, where 
.
-3 raised to the power 0 
Therefore, the value of the given statement is 1.
Answer:
c
Step-by-step explanation:
