The value of the composition of functions f(g(3)) is given by (A) -1.
Here given that the functions are,
f(x) = 3x-7
g(x) = (x+1)/(x-1)
To find the value of g(3) we have to first substitute the value x = 3 in the given function g(x), doing that we get,
g(3) = (3+1)/(3-1) = 4/2 =2
Thus the value of g(3) = 2
Now in order to find the value of composition of functions f(g(3)) we have to substitute the value of x = g(3) = 2 in the given function f(x), doing that we get,
f(g(3)) = f(x = g(3)) = f(x = 2) = f(2) = 3*2-7 = 6-7 = -1
Thus the value of the required composition of functions f(g(3)) is given by -1.
Hence the correct option is given by (A).
<em>The question is incomplete. Find the full content below. </em>
Consider these functions:
f(x) = 3x-7
g(x) = (x+1)/(x-1)
What the value of f(g(3))?
(A) -1
(B) 0
(C) 3
(D) 5
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The answer would be E. BD's slope is undefined and thus is not the greatest slope.
The triangle would be an isosceles triangle, because it has two equal sides and two equal angles
All the points which are at the distance of PQ from the center of the circle will be located on the circle.
<h3>What is a circle?</h3>
A circle is a closed shape created by following a moving point on a plane while maintaining a constant distance from another point.
According to the given question, the circle named A has it's center at the point P and has a point Q on the circumference of the circle, so any point at the distance of PQ from the center of the circle will lie on the circumference of the circle.
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The vertex is (-1,1)
Explanation
The vertex formula to find the x coordinate of the formula is -b/2a
So we plug in the values into the formula which is
-4/2(2)
Simplify it
-4/4
=-1
-1 is now the x cord of the vertex.
So now we will plug in the x into the quadratic equation which is 2x^2+4x+3
2(-1)^2 + 4(-1) + 3 = 2 -4 +3
Simplify it
5 - 4= 1
Y=1
So the Coordinates of the vertex is (-1,1)
