How do you find the inverse function of the function f(x) = -3x + 2?

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Answer 1 · 2016-08-01T13:23:02

#"the inverse of function is :"f^'(x)=(2-x)/3#

#"approach 1:"#

#f(x)=y=-3x+2#

#3x=2-y#

#x=(2-y)/3#

#"now ; x and y mutually changed"#

#y=(2-x)/3#

#f^'(x)=(2-x)/3#

#"approach 2: use the formula :"#

#f(x)=(a x+b)/(c x+d)" ; "f^'(x)=(-d x+b)/(c x -a)#

#a=-3" ; "b=2" ; "c=0" ; "d=1#

#f^'(x)=(-x+2)/(0*x+3)#

#f^'(x)=(2-x)/3#