How do you Find the inverse of the function g(x)=3x-5?

1 Answer
Jim G.
Apr 26, 2018

#f^-1(x)=1/3(x+5)#

Explanation:

#"let "y=3x-5#

#"rearrange making x the subject"#

#rArr3x-5=y#

#"add 5 to both sides"#

#rArr3x=y+5#

#"divide both sides by 3"#

#rArrx=(y+5)/3=1/3(y+5)#

#"the inverse function is usually expressed in terms of x"#

#rArrf^-1(x)=1/3(x+5)#

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