7 is incorrect. The answer should be -4. Here's how I'd derive it:

With
, we should expect
. If
, then

Also,

so we should expect
and

You seem to be taking

but this is not an identity.
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8 is incorrect. Just a silly mistake, you swapped the order of the terms in the numerator. It should be

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9. Use the identity from (7).
lies in the second quadrant, so

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12.




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13.




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14.



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15.



Answer:
g(f(-1)) = 2
Step-by-step explanation:
f(x) = 2 + x
g(x) = 3 - x
if you need to find g(f(-1)); find f(-1) first
f(-1) = 2 + (-1) = 1
f(-1) =1; now plug this into g(1)
g(1) = 3 - 1 = 2
Answer:
The function is decreasing.
Step-by-step explanation:
f(x) = x is the parent function, when you make x negative it decreases rather than increasing. the use of the slope (1/2) doesn't change whether it it increasing or decreasing. as long as the negative sign is in front, it will decrease.
Answer: The answer is f(x) = -7x + 7.
Step-by-step explanation: We are give a relation as follows :

From here, we need to find the expression for f(x).
Here, we will be using the following properties of exponents :

We have

Thus, the required expression is f(x) = -7x + 7.
Answer:
B. 1:7
Please give me brainliest, thank you!
Step-by-step explanation:
Information given and needed:
- 40 members
- 5 girls
- 35 boys
Solve:
girls to boys
5 to 35
(You can now simplify)
1 to 7
Answer:
B. 1:7