X + 25 = 12
-25 on both sides
x = -13
Answer:
x = -13
Answer:
A horizontal shift a units to the right.
Step-by-step explanation:
f(x) =x, is a line with the the x-intercept at (0,0)
g(x) = x-a, is a line that has the same slope as line f(x) , yet has a x-intercept at (a,0) the line moved a units to the right
Answer:
y = 1/4x - 19/4
Step-by-step explanation:
Use the equation y = mx +b
x (x coordinate) = -1
y (y coordinate) = -5
slope (m) = 1/4
Plug in!
-5 = 1/4(-1) + b
-5 = -1/4 + b
-5 + 1/4 = b (Add 1/4 to both sides)
-20/4 + 1/4 = b
-19/4 = b
y = 1/4x - 19/4
1, 72, 2. 36, 3. 80,4. 54
Answer:
Domain : (- ∞, - 5), and (3 / 2, ∞),
Range : (∞, 0.4437]
Step-by-step explanation:
Assuming that we want our answer in interval notation, let's start by determining the domain. Remember that the domain can be found where the function is undefined.
Given : f(x) = (2x - 7) / (2x² + 7x - 15)
Alternative Form : (2x - 7) / (x + 5)(2x - 3)
To receive this 'alternative form' we can simply factor the expression 2x² + 7x - 15. See the procedure below,
Now let's find the domain using the expression '(x + 5)(2x - 3) = 0.' If the denominator equals 0, the function is considered undefined.
Knowing these solutions the domain has the intervals (- ∞, - 5), and (3 / 2, ∞). The range is the set of values that correspond to the domain, so in this case the range would be (∞, 42 + 8√17 / 169]. 42 + 8√17 / 169 = (About) 0.4437, so it lies on the interval (∞, 0.4437].
The images below represent the plotted function in two areas. There are 3 curves in this graph.