The correct answers are x≠2 and x≠(-2).
Domain restrictions are any points in the domain where the function will not have a value. This basically means that it's a point where x won't work in the function.
For the numerator, any value will work for x. We can have a value of 0 in the numerator, or a positive, negative, or decimal number.
However, the denominator cannot equal 0. This is because a fraction bar represents division, and we cannot divide by 0. The values that make the denominator 0 can be found by:
x²-4=0
Add 4 to both sides:
x²-4+4 = 0+4
x² = 4
Take the square root of both sides:
√x² = √4
x = 2 or x = -2.
Y depends on x. And x are the real numbers.
Hope this helps!
35x100 hours = $3500+$65= $3565 for 100 hours of work and materials.
draw a perpendicular line from the directrix passing through the focus, this will be the line of symmetry.
The vertex(h, k) will be located on the line half way between the focus and directrix.
The distance from the focus to the vertex is called the focal length, call it a. The then equation is
(x - h)^2 = 4a(y - k)
the equation can be manipulated to
y = 1/4a(x - h)^2 + k
hope it helps
Answer:
Let f be a function. If any horizontal line intersects the graph of f more than once, then f does not have an inverse. An absolute value function (without domain restriction) has an inverse that is NOT a function. That's why an absolute value function does not have an inverse function。