If , 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)
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)
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