Find the surface area of a regular pentagonal prism with side length 8, altitude 20, and apothem approximately 5.5.
1 answer:
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Answer:
f⁻¹(x) = √((3 -x)/3)
Step-by-step explanation:
A function gives you a y-value for each value of x.
y = f(x)
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An inverse function tells you the x value that produced a given y-value. It is the solution to the equation ...
x = f(y)
So, we want to find y for ...
x = -3y² +3
x -3 = -3y² . . . . . . . . . . . subtract 3
(x -3)/-3 = y² . . . . . . . . . divide by -3
√((x -3)/-3) = y . . . . . . . take the square root.
The requirement for x > 0 in the original function means y > 0 for the inverse function. That is why we use the positive square root.
This can be simplified a little bit to remove the minus sign from the denominator.
f⁻¹(x) = √((3 -x)/3)
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The graph plots the function and its inverse. They are reflections of each other over the line y=x. (That's one way you can tell you have the correct inverse function.)
Answer:
Step-by-step explanation:
Answer:
The required inequality is:
The graph is shown in figure.
Step-by-step explanation:
Consider the provided information.
Chad will need at least 24 minutes to complete the 5K race. However, he wants to finish in under 30 minutes.
Let the time taken to finish the race is represented by x.
Chad need at least 24 minutes and he wants to finish in under 30 minutes.
Thus, the required inequality is:
Now draw the graph of the inequality.
Use a dot or close circle to represents ≤ and use an open circle to represent <.
The value of x is greater than or equal to 24 but less than 30, Thus the required graph is shown in figure.
