Given that 1/3 of a box is 6 dollars, we can say that per dollar is 1/18 of a box. If you have 4 dollars, this would mean that you can buy 4/18 of a box to 2/9 of a box. Hope this answers your question. Have a great day ahead!
F-1(x) = 8x - 24
You can get this by switching the x and f(x) and then solving for f(x)
f(x) = 3 + 1/8x ---> now switch them
x = 3 + 1/8f(x) ---> now subtract 3 from both sides
x - 3 = 1/8f(x) ---> now multiply both sides by 8
8x - 24 = f(x) ----> ANSWER
Answer: The correct answer is B.
Step-by-step explanation:
100,000,000 + 20,000,000 + 4,000,000 + 700,000 + 50,000 = 124,750,000
The rate of change is the slope of this line
m = (y2 - y1)/(x2 - x1) = (13 - 5)/(4 - 0) = 8/4 = 2
First, conceptually understand what an inverse function is, it makes solving it very intuitive. An inverse function is simply a function which has points (y,x) for every point (x,y) of the parent function. So you are essentially taking all points of the parent function and switching the x and y coordinates for each. Those switched coordinates are produced by the "inverse function".
Mathematically then, finding the inverse function is a matter of solving for x and then switching the variable labels. In this case:
y=2x+1 subtract 1 from both sides
y-1=2x divide both sides by 2
(y-1)/2=x now just switch the labels for the variables...
y=(x-1)/2 so
f^-1(x)=(x-1)/2 is the inverse of f(x)=2x+1
