The answer would be 40/63 as simplified.
Hope this helps! Can i have brainiest?
<span>X^2+x-2/1-x^2 ÷ 2x^2-6x-20/x^2-4x-5
(x + 2)(x - 1) (x - 5)(x + 1)
= ------------------- * ---------------------
(1 + x)(1- x) 2(x + 2)(x - 5)
</span> (x - 1)
= ----------
2(1- x)
- (1 - x)
= -------------
2(1 - x)
= -1/2
answer
-1/2
Answer:
(-∞, ∞)
Step-by-step explanation:
The domain of a function is the set of all possible input values (x-values).
An asymptote is a line that the curve gets infinitely close to, but never touches.
The arrows on either end of a graphed curve show that the function <u>continues indefinitely</u>. Therefore, we cannot assume there is an asymptote at x = -3 as we cannot see what happens to the curve as x approaches -∞.
Therefore, the domain of the given function is unrestricted:
- Solution: { x | -∞ < x < ∞ }
- Interval notation: (-∞, ∞)
(a) If <em>f(x)</em> is to be a proper density function, then its integral over the given support must evaulate to 1:
For the integral, substitute <em>u</em> = <em>x</em> ² and d<em>u</em> = 2<em>x</em> d<em>x</em>. Then as <em>x</em> → 0, <em>u</em> → 0; as <em>x</em> → ∞, <em>u</em> → ∞:
which reduces to
<em>c</em> / 2 (0 + 1) = 1 → <em>c</em> = 2
(b) Find the probability P(1 < <em>X </em>< 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):
Using the Distributive Property
The answer would be 3.
2 *4x = 8x and 2 * 3 = 6, to get 8x 6
