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:
Domain (-∞,∞)
Range (0, ∞)
Step-by-step explanation:
The domain of a function is always the set of all real numbers therefore the domain is going to be (-∞,∞). The range is (0, ∞) because 0 is one of the outputs for the function
Answer:
Approximately 23.6
Step-by-step explanation:
So first find the fraction of the whole circumference the arc is.
270 ÷ 360 = 0.75
The circumference is 10π
0.75 * 10π = 7.5π
7.5π = 23.5619449019 ≈ 23.6
Answer:b,they are not proportional
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
Theres different ways you can solve this but the way I did it both sides were equal to eachother.
