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Pedro has created the function f(x) = the quantity of 4x minus 3, divided by 2 to represent the number of assignments he has completed, where x represents the number of weeks in the course. Pedro discovers that, using the inverse function to solve for x = 30, he can predict when he will have 30 assignments completed. Explain to Pedro how to accomplish this, using complete sentences.
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Ok so I am going to assume that is right because I do not want to wait for you to respond. SO I will just run you through the steps:
1) Make f(x) = y, then switch x and y:
x = (4y - 3)/2
2) Now solve for y:
* 2 on both sides
2x = 4y -3
+3 on both sides
2x + 3 = 4y
/4 on both sides
y = (2x+3)/4
3) Now plug in 30 to find when he will have completed 30 assignments:
y = (2(30) + 3)/4
y = (60+3)/4
y = 63/4
y = 15.75 Weeks
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