F(x) = x - 2
g(x) = x² - 7x - 9
g(-1) = (-1)² - 7(-1) - 9 = 1 + 7 - 9 = -1
f(g(-1)) = f(-1) = -1 - 2 = -3
Given equation is
.
Now we need to find about what are the key aspects of the graph of
, where b is a real number.
We know that square of any number is always positive.
then
must be a positive number.
So that means for any real number b, as the value of b increases then graph of f(x) shifts downward by
units as compared to the graph of parent function 
Answer:
Well, you didn't give a picture of the available mapping diagrams, so I can't tell you that. However, I CAN tell you that the relation is not a function.
Step-by-step explanation:
A function occurs when each input only has one output. For example if the input is 5, it can only give 1 y-value out. It cannot give 2,3,4...etc values. This relation is not a function because -5 maps to both -4 and 3. That's one input to two outputs, which breaks the rules of a function.
Answer:
B. Set the alpha level at 0.05.
Step-by-step explanation:
Hypothesis testing is a procedure whereby a researcher determines if the null hypothesis is rejected or accepted, depending on the significant level or the alpha level. When a type I error is made, the null hypothesis is rejected even though it is correct. To solve this problem, the significant or alpha level is set to 5% or 0.05.
Answer:
B. 25%
Step-by-step explanation:
25 percent of 60 would be 15, then if you subtract 15 from 60, you end up with 45, meaning that 25 percent was subtracted.