Check my work
did i do everything right?
f(x) = x + 3/ 5
y = x +3/ 5
5 * x = y + 3/ 5 * 5
5x - 3 = y + 3 - 3
5x - 3 = y
f^-1(x) = 5x - 3
second:
g(x) = 7x - 4
g(f(x)) = 7(f(x)) - 4
g(f(x)) = 7(x+3/ 5) - 4
g(f(x)) = 7(x+3/ 5) * 5 - 4 * 5 = gf * 5
7(x + 3) - 20 = 5gf
7x + 21 - 20 = 5gf
7x + 1 = 5gf
7x +1 - 1 = 5gf - 1
7x = 5gf - 1
7x/7 = 5gf - 1/ 7
x = 5gf - 1/ 7

Given a(-12,5) and b(12,29) find the point that divides the line segment ab three-eighths of the way from a to b

The number if marbles of different colors stored in a hat is listed below: 4 red marbles 10 green marbles 7 blue marbles. without looking in the hat, dan takes out a marble at random. he replaces the marble and then takes out another marble from the hat. what is the probability that dan takes out a blue marble in both draws?

The boiling point of water at an elevation of 0 feet is 212 degrees fahrenheit (°f). for every 1,000 feet of increase in elevation, the boiling point of water decreases by about 2°f. which of the following represents this relationship if b is the boiling point of water at an elevation of e thousand feet? a) e = 2b - 212 b) b = 2e - 212 c) e = -2b + 212 d) b = -2e + 212