If f(x)=8x-3, what is the inverse function?
To obtain the inverse fucntion basically all we have to do is re-arrange the equation and the do a small trick of swaping x and f(x), which can be done either at the start or at the end.
Assuming we leavce it for the end, the first step is to re-arrange the equation so that we have x=something
So first we move the 3 to the other side and get:
f(x)-3 = 8x
Then we divide both sides by 8 and get:
(f(x)-3)/8 = x
Now all we have to do is swap x anf f(x) round to get a standard function equation, and so we get:
f(x)= (x-3)/8
TA
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