Find the inverse of this function: f(x) = 3 - 2tan(0.5x) I'm not really sure how to do this... I've tried y = 3 - 2tan(0.5x) and rearranging to make x the subject
can u first isolate the tan(0.5x) term from y=...?
-2tan(0.5x)=y-3 tan(0.5x)=(y-3)/(-2)?
correct, when tan y = z, then y= arctan z so, tan 0.5x = (y-3)/(-2) 0.5 x = arctan [(y-3)/(-2)] got this ?
What exactly is arctan?
its the inverse tan function. for details, look wiki
Oh its the inverse, we never learnt that term in new zealand lol. So x = 2 arctan[(y-3)/(-2)]?
yes, correct... you can write that as 2 arctan[(3-x)/(2)] also which is your inverse function
Thanks so much!!! You seem to be the most active person on here lol.
there are many others active here too :) and welcome ^_^
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