Function Composition exists when two functions f(x) and g(x) result in another function h(x), such that h(x) = f(g(x)). For function composition h(x) = f(g(x)), the value of a exist -4.
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What is function Composition?</h3>
Function Composition exists when two functions f(x) and g(x) result in another function h(x), such that h(x) = f(g(x)). In other words, put the outcome of one function into the other one.
Here, h(x) = f(g(x))
which means, h(x) = f(x³+ a)
To estimate the value of a, we separate equal terms:
1) Both are squared, so we can "eliminate" the square;
2) x³ = x³
3) -2 = a+2
a = -4
For function composition h(x) = f(g(x)), the value of a exist -4.
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Answer:
Step-by-step explanation:
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A reflection across the line y=0 (AKA the x-axis)
and then across the line x=0 (AKA the y-axis)
is the same as a rotation of 180º
clockwise about the origin because the lines intersect at the origin and at a 90º angle.
While all of that is true, you could also be more general, because reflecting over any two lines that intersect at the origin will result in a rotation about the origin and have an angle of rotation equal to twice that of the acute angle formed between the intersecting lines.
Answer:
Step-by-step explanation:
We are given that endpoints of a diameter at the points (7,2) and (-9,5).
Center of the circle is the mid point of diameter
So, first find the mid point of diameter
Formula : 
Substitute the values in formula
So, center of circle = (h,k )=(-1,3.5)
To find length of diameter :
Length of radius = r = 
Standard form of the equation of the circle : 
(h,k )=(-1,3.5)
Equation of the circle : 
Equation of the circle :
Hence the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5) is
