At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Answer:
[tex]f'(x) = \frac{1}{5}x[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5x[/tex] --- Nickel to Penny
Required
Determine the function that converts penny to nickel
This question implies that we determine the inverse of the function.
We have:
[tex]f(x) = 5x[/tex]
Represent f(x) with y
[tex]y = 5x[/tex]
Swap the positions of x and y
[tex]x = 5y[/tex]
Make y the subject by dividing both sides by 5
[tex]\frac{1}{5}x = \frac{5y}{5}[/tex]
[tex]\frac{1}{5}x = y[/tex]
[tex]y =\frac{1}{5}x[/tex]
Replace y with f'(x)
[tex]f'(x) = \frac{1}{5}x[/tex]
Hence, the function that converts x pennies to nickels is [tex]f'(x) = \frac{1}{5}x[/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.