The statement that -6 is in the domain of f(g(x)) is true
<h3>Complete question</h3>
If f(x) = -2x + 8 and g(x) =
, which statement is true?
- -6 is in the domain of f(g(x))
- -6 is not in the domain of f(g(x))
<h3>How to determine the true statement?</h3>
We have:
f(x) = -2x + 8

Start by calculating the function f(g(x)) using:
f(g(x)) = -2g(x) + 8
Substitute 

Set the radicand to at least 0

Subtract 9 from both sides

This means that the domain of f(g(x)) are real numbers greater than or equal to -9. i.e. -9, -8, -7, -6, ...........
Hence, the statement that -6 is in the domain of f(g(x)) is true
Read more about domain at:
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Answer:
y to 0.78y is a decrease
Step-by-step explanation:
y by itself can also be written as 1y, and 0.78y is less than 1, thus y to 0.78y is a decrease.
Answer:
2
Step-by-step explanation:
Fill in each function's argument and do the arithmetic.

Answer:
x = 4 when y = 12
Step-by-step explanation:
The ratio of y to x is 6:2. If you multiply either one of them, you must do the same to the remaining number. So, when you multiply 6 by 2 to get 12, you must also multiply 2 by 2 to keep the ratio equal and the same. 2x2 = 4, so x=4 when y=12. Hope this helped! Good luck with other math problems :)