My Math Forum Function! Explain please!

 Algebra Pre-Algebra and Basic Algebra Math Forum

 November 9th, 2016, 05:35 AM #1 Member   Joined: Aug 2016 From: South Korea Posts: 55 Thanks: 0 Function! Explain please! Our teacher showed us the answer to f(tanx), if f(b) = b - b^2/1 + b but I don't quite get it.. Someone explain to me how do you get answer for f(tanx), if f(b) = b - b^2/1 + b ?? Last edited by SlayedByMath; November 9th, 2016 at 05:57 AM.
 November 9th, 2016, 05:50 AM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,700 Thanks: 2682 Math Focus: Mainly analysis and algebra Your notation doesn't make sense. $f(3)$ must be equal to something.
 November 9th, 2016, 05:56 AM #3 Member   Joined: Aug 2016 From: South Korea Posts: 55 Thanks: 0 Oh no sorry!! I've typed totally wrong!! >< It's f(b) = b - b^2/ 1 + b then find just only f(tanx)
 November 9th, 2016, 06:02 AM #4 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,700 Thanks: 2682 Math Focus: Mainly analysis and algebra For $f(\tan x)$ you replace $b$ with $\tan x$ wherever it appears.
 November 9th, 2016, 06:19 AM #5 Member   Joined: Aug 2016 From: South Korea Posts: 55 Thanks: 0 then..? I just saw some tan, sin, cos on the board but I don't actually know how they actually got it? Explain briefly TT.TT
 November 9th, 2016, 07:01 AM #6 Global Moderator   Joined: Dec 2006 Posts: 21,127 Thanks: 2336 If f(b) = (b - b^2)/(1 + b) was intended, f(tan(x)) = tan(x)(1 - tan(x))/(1 + tan(x)) = tan(x)tan(pi/4 - x). Thanks from SlayedByMath

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