Help please? Write a function that repersents this process: A:Take a number,x. B: Multiply it by4. C: Subtract 2 from the result Then find the inverse of this function. Does the inverse represent the reverse of the process above ? Explain why or why not.
You should be able to at least do the first part, writing the original function.
Yeah! Lets see it! It tells you what to write in the problem!
Would it be like x•4-2
Yes. y = 4x - 2 Now to find the inverse, solve that equation for x = ...
You type faster @agent0smith .... :( I'll let you have this one! >:D You're in good hands OP
Would I divide it by 2?
y = 4x - 2 If you needed to find x, what would you do first?
Would you add 4 to both sides
No... you'd add 2 to both sides.
So it would be y=6x
Negative GhostRider. When you add a number without a variable you don't touch ones with variables. So, the \[4x\] would be left alone. as would the \[y\] Try again!
This makes no sense dude I'm literally so confused
(+2) y = 4x + 2 (-2) y + 2 = 4x Take it from there?
Oh my, i made a typo. Don't listen to me! D: I quit!
Let's start at what you said at the beginning. @ambermarie151 "Would it be like x•4-2" What you did was take x and 1. Multiplied by 4 2. Then you subtracted 2 To get back to x you apply the "inverse" operations in the opposite order. 1. Add 2 2. Divide by 4 Let y = 4x - 2 y + 2 = 4x - 2 + 2 y + 2 = 4x (y + 2)/4 = (4x)/4 y/4 + 1/2 = x Note: inverse operations are operations that "undo" each other, for example multiplication and division.
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