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If mc029-1.jpg, what is the equation for f–1(x)?

 

a.      f–1(x) = 4x - 3

b.     f–1(x) = 4(x + 3)

c.     f–1(x) = 4x + 3

d.       f–1(x) = 4(x - 3)

 Mar 20, 2015

Best Answer 

 #2
avatar+118724 
+5

Thanks Chris,

Alan keeps telling me I have to rearrange the equation to make x the subject BEFORE I can swap the x and the y.  (just as Chris has told you here)

 

I have never understood what difference it makes. Especially not if graphing 'holes' are pre-recognised :) Mmm

 Mar 21, 2015
 #1
avatar+130518 
+5

Let's write this as 

y =(1/4)x + 3

Here's the strategy

1. Get x by itself

2. "Swap" x and y

3. For "y" write f-1(x)

 

So

y =(1/4)x + 3    add 3 to both sides

y - 3 =(1/4) x     multiply both sides by 4

4y - 12  = x      we have x by itself

 

Now, "swap" x and y

4x - 12 = y

 

For "y" ..... write f-1(x)

f-1(x)  = 4x - 12  ...and we can write this as 

f-1(x) = 4(x - 3)

 

  

 Mar 20, 2015
 #2
avatar+118724 
+5
Best Answer

Thanks Chris,

Alan keeps telling me I have to rearrange the equation to make x the subject BEFORE I can swap the x and the y.  (just as Chris has told you here)

 

I have never understood what difference it makes. Especially not if graphing 'holes' are pre-recognised :) Mmm

Melody Mar 21, 2015

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