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 :)
Answer:
Jane is 52 7/40 inches tall
Step-by-step explanation:
What you do is you subtract 1 3/8 from 54 3/4 which gives you Carl's height, which is 53 3/8.
Lastly, you subtract 1 1/5 from 53 3/8 which is 52 7/40.
Answer:
9r
Step-by-step explanation:
4r+9r-11r+7r
Combine like terms
13r -11r+7r
2r+7r
9r
Answer:
Step-by-step explanation:
Answer:
-(20+z)/y = x
Step-by-step explanation:
-20=xy +z
Subtract z from each side
-20 -z = xy+z-z
-20 -z = xy
Divide each side by y
(-20 -z)/y = xy/y
Factor out a negative
-(20+z)/y = x