we know that
if g(x) is the inverse of f(x)
then
g[f(x)]=x
so


------> this is the expression

therefore
the answer is the option
b) 1/5(5x-25)+5
Step-by-step explanation:
|...| means absolute value of "...". that means always the "+" value of "...", even if it is negative.
in other words
|-x| = x
|x| = x
|-x - 2y| for x = -2 and y = 3
|- -2 - 2×3| = |2 - 6| = |-4| = 4
Recall your d = rt, distance = rate * time
let's say we have two cars, A and B, B has a speed rate of "r", so A is the faster one and has a speed rate of " r + 10 "
they both are 300 miles apart after 3hrs, after 3hrs, car has been running for 3hrs, and car B has also been running for 3hrs, so their time is the same
we know their distances added up, is 300miles, so if car B covered say, "d" distance on those 3hrs, car A covered the slack, " 300 - d "

solve for "r"
Add 11.7 and 2. The answer is 13.7 (quarts).
So from 75 to 80 and 75 is 100%
80-75=5
5 is x% of 75
x%=percent markup
5=x% times 75
% means parts out of 100 so
x%=x/100
5=x/100 times 75
5=75x/100
75x/100=75/100 times x
75/100=3/4
5=3/4x
multiply both sides by 4/3
20/3=x
6.6666%
the percent mark up is 6.6666%