F(x)= 2x²+4x-6 and g(x)=2x-2, find each function
1. (f/g) (x) = f(x)÷g(x) = (2x²+4x-6)÷(2x-2)
First factor both top and bottom:
(2x-2)(x+3)÷(2x-2) = x+3
2. f(a + 2) = plug (a+2) in anywhere there is an x in f(x)=2x²+4x-6 -->
2(a+2)^2 +4(a+2)-6 = 2(a^2+4a+4)+4a+8-6, now distribute:
2a^2+8a+8+4a+2, combine like terms
2a^2+12a+10
3. g(a/2) = plug (a/2) in anywhere there's an x in g(x)=2x-2:
2(a/2)-2 = a-2
Domain: What are all the possible x values?
[-6, 0) U (0,2)
[ ] Closed brackets means including a number
( ) Open brackets means not including that number
Range: All possible y values
(1, 6]
What is the question? Please give more details.
Answer:
D
Step-by-step explanation:
There are 52 cards in a deck.
First we find the probability of drawing a 2
There are 4 cards that shows 2
Probability of drawing a 2 card fro 52 cards = 4 / 52
We know that P( not A) = 1 - P(A)
So the probability (not dealt a 2) = 1 - probability (dealt a 2)
= 1 - 4/52
= (52 - 4)/ 52 = 48/52
Now we simplify the fraction
48/ 52 = 12/13
Hence, the probability( not dealt a 2) = 12/13
