Answer:
Option A. √(x + 1)
Step-by-step explanation:
Data obtained from the question include:
f(x) = √(x² – 1)
g(x) = √(x – 1)
(f/g) (x) =..?
(x² – 1) => difference of two square
(x² – 1) => (x – 1)(x + 1)
f(x) = √(x² – 1)
f(x) = √(x – 1)(x + 1)
(f/g) (x) = f(x) /g(x)
f(x) = √(x – 1)(x + 1)
g(x) = √(x – 1)
(f/g) (x) = √(x – 1)(x + 1) / √(x – 1)
(f/g) (x) = √[(x – 1)(x + 1) / (x – 1)]
(f/g) (x) = √(x + 1)
Answer:
y intercept at 5/2. Slope is 0
Step-by-step explanation:
The equation for a line can be represented by the formula y=mx+b. M is the slope or rate of change and b is the y intercept. Since the equation y=5/2 does not have an x in it the slope is 0 and you have a perfectly straight horizontal line. Since we are just left with 5/2 that is our y intercept.
In other words, no matter what value you plug in for x, y will always be 5/2.
Answer: A. As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞.
Answer:
The correct answer is x < 2 or x > -2. The graph would be a line between -2 and 2 with an open circle on both.
Step-by-step explanation:
To solve, first solve the equation for the absolute value portion of the equation.
2|x| + 1 < 5
2|x| < 4
|x| < 2
Now since there is an absolute value around it, we have to complete it for the positive and negative versions.
x < 2 OR x > -2
R + 3 = 2
First, subtract 3 from both sides. / Your problem should look like: r = 2 - 3
Second, simplify 2 - 3 to -1. / Your problem should look like: r = -1
Answer: r = -1
