Answer:
Step-by-step explanation:
This is function composition. We will take the g function and plug it into the f function wherever we see an x. That will look like this when it's done but before it's simplified:
and that can be simplified down to
The domain of this function will be all real numbers EXCEPT for the one(s) that cause the denominator to become undefined. Set the denominator equal to 0 and solve for x:
5x - 4 = 0 so
5x = 4 and
x = 4/5
In other words, D = {x | x ≠ 4/5}
Answer:
1/5
Step-by-step explanation:
Chance is also referred to as probability
probability = Number of event/Total samples space
If there are 6 black socks,8 white socks,2 red socks, and 4 blue socks in a drawer, the total number of socks will be the sample space
Sample space = 6 + 8 + 2 + 4
Sample space = 20socks
Total number of blue socks is the event
Number of event = 4 blue socks
Chance that the socks is blue = n(E)/n(S)
Chance that the socks is blue = 4/20
Chance that the socks is blue = 1/5
20 dollars, she will earn this because five percent of one hundred is five, times five by four and you get your answer of twenty!
(f+g)(x) = f(x) + g(x) = x + 11 + 3x^2
(f+g)(5) = f(5) + g(5) = 5 + 11 +3(5^2) = 91
