Answer:
Domain: (-∞, ∞)
Range: [-2, ∞)
Step-by-step explanation:
The domain of any parabola is (-∞, ∞)
The range of this parabola is [-2, ∞) because the vertex is at (-2, -2).
Answer:
30/169
Step-by-step explanation:
We need to know how many marbles in the bag
6 red marbles + 2 white marbles + 5 blue marbles = 13 marbles
P (red) = red / total = 6/13
We then put the marble bad so there are still 13 marbles in the bag
P(blue) = blue /total = 5/13
P (red then blue ) = P(red) *P(blue)
= 6/13 * 5/13 = 30/169
Answer:
Step-by-step explanation:
<u>Operation of Functions</u>
Given:
The sum of (f+g) (x) is:
We cannot operate with the expression inside the absolute bars, thus:
Answer:
What's the question?
Step-by-step explanation:
Answer:
f⁻¹(x) = x/4 + 1/2
Step-by-step explanation:
To find the inverse of a function, switch the x and y variables, then isolate y.
f(x) replaced y, so you can replace it back.
y = 4x - 2
x = 4y - 2 Switched x and y
x + 2 = 4y Added 2 to both sides
y = x/4 + 2/4 Divided both sides by 4
y = x/4 + 1/2 Simplified
f⁻¹(x) = x/4 + 1/2 Use function notation
