The correct answer would be B. 2/(x + 8)
When you are completing composite functions, you place the entire second function in for x in the first function. Since the letter f comes first in f o g. then we start with the f(x) equation.
f(x) = 2/x
Now since g comes next, we take the entire equation for g(x) and substitute it in.
f o g = 2/(x + 8)
This is answer B.
Answer:
Line A overlaps line B
Step-by-step explanation:
find gradient of both A and B and use it to find the equation of both lines
final answer will reveal that both lines are the same implying that one overlaps the other
The inverse of this function is f(x) = 2x - 12.
You can find the inverse of any function by switching the f(x) and x values in the equation. Then you can solve for the new f(x) value. The result is your inverse function. The work for this one is below.
f(x) = 1/2x + 6 ----> switch f(x) and x
x = 1/2f(x) + 6 ----> subtract 6
x - 6 = 1/2f(x) ----> multiply by 2
2x - 12 = f(x) ----> change the order for consistency.
f(x) = 2x - 12
Answer:
-0.5
Step-by-step explanation:
In the picture above.
I hope that it's a clear solution.