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 :)
5.15 for the first hour after subtracting 12.20(7.15)
Answer:
46080 ft²
Step-by-step explanation:
Given :
Scale :
1 in = 4 feets
Recall :
I foot =. 12 inches
Length of drawing = 4 feets
Length of drawing in inches = 4 * 12 = 48 inches
Width of drawing = 5 feets
Width of drawing in inches = 5 * 12 = 60 inches
Actual length of pool = 48 * 4 = 192 feets
Actual width of pool = 60 * 4 = 240 feets
The actual area of the pool :
Length * width
192 feets * 240 feets = 46080 ft²
Answer:
-1
Step-by-step explanation:
We need two points to use the slope formula
(0,2) and (2,0) are points on the line
m= ( y2-y1)/(x2-x1)
= (0-2)/(2-0)
= -2/2
=-1
