The inverse of this function would be f(x) = .
You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.
f(x) = - 6 ----> Switch f(x) and x
x = - 6 ----> Add 6 to both sides
x + 6 = -----> Take the logarithm of both sides in order to get the f(x) out of the exponent
Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2
= f(x) ----> And switch the order for formatting purposes.
f(x) =
And that would be your new inverse function.
Answer:
1: 3\sqrt2 - \sqrt14
2: \sqrt21 - 2\sqrt(7)
3: 4\sqrt3 - \sqrt15
4: 2\sqrt5 - \sqrt10
5: -3 + 3\sqrt5
I already gave you these answers man
Step-by-step explanation:
Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|
Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5
Required answer is f(x) = one fourth (x - 3)^2 + 5