F(x) is y
y = x^2 + 6x + 11
y = x^2 + 6x + 11
If f(x)=3x+5/x, what is f(a+2)? A. 3(f(a))+5/f(a)+2 B. 3a+5/a+2 C. 3(a+2)+5/a+2
1 answer:
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There will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.
<h3>What is a circle?</h3>It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have a circle and a parabola:
As we know the standard form of a circle:
The standard form of the parabola:
If we plug the value of y from the parabola equation in the circle equation, we get a quartic equation(4th order equation)
The solution of the quartic equation will be 4.
Thus, there will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.
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See attachment for illustration
To solve this question, we make use of the following theorem
The distance between a point and the foci sums up to the major axis
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