Answer:

Step-by-step explanation:
The domain of a function is all possible values for the value of x.
The denominator in a rational function cannot equal to 0.

Subtracting 2 from both sides.

The domain of the function is all real numbers except -2.
Answer:
3 4/5
Step-by-step explanation:
247 divided by 10^2 is 2.47 and 247 times 10^2 is 24,700
Answer:
f(g(x)) = x
Explanation:
In order to prove that one function is the inverse of the other, all you have to do is substitute in the main function with the inverse one and solve. If the result is x, then it is verified that one function is the inverse of the other.
Now for the given functions we have:
<span>f(x) =5x-25
</span><span>g(x) = (1/5)x+5
We want to prove that g(x) is the inverse of f(x).
Substitute in the above formula and compute the result as follows:
f(g(x)) = 5(</span>(1/5)x+5) - 25
= x + 25 - 25
= x
The final result is "x", therefore, it is verified that g(x) is the inverse of f(x)
Hope this helps :)