<h2>
Steps:</h2>
Here are the steps to convert an equation to its inverse:
- Change f(x) to y
- Switch the positions of x and y
- Solve for y
- Change y to f^-1(x)
Firstly, do the first two steps:
Next, let's solve for y. Subtract 3 on both sides:
Next, divide both sides by 4:
<h2>Answer:</h2>
Finally, change y to f^-1(x) and your final answer will be:
, or <u>the second option.</u>
According to the information given, the ramp would be 50 feet high. (However, that seems really high. Did you type your problem correctly?)
If you draw a picture, you will see that you can set up a cosine ratio to solve this problem. With a 30 degree angle of depression, the angle we are going to use 60 degrees.
We can set up the following equation:
cos(60) = x / 100
0.5 = x / 100
50 = x
Answer: 52.77876 in
Explanation: C=2πr=2·π·8.4≈52.77876 in
Given a table, with an input (x) and output (y) , you could actually use the slope formula to get the rate of change because slope is the same thing as rate of change. If you recall, the slope formula is (y2-y1)÷(x2-x1)
Just pick two points from the chart and plug them in and that is your rate of change
