Answer:
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Step-by-step explanation:
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:
Hope it helps!
Step-by-step explanation:
Sub y=5x into y=2x+3
so
5x=2x+3
3x=3
x=1
plug x=1 into y=5x
y=5
Checking work
Plug (1,5) into y=2x+3
5=2(1)+3
5=5
Plug (1,5) into y=5x
5=5(1)
5=5
Answer:
The prime factorization of 891 is 9^2*11
Step-by-step explanation:
Divide 891 by 9, 9, and finally, 11. Or use a factorization calculator.
Percent increase/decrease is:
(Change/original amount)x100
(.25/2.35)x100= 10.6%
