What is the inverse of #f(x) = 4x-1#?

1 Answer
Jim G.
May 11, 2018

#f^-1(x)=1/4(x+1)#

Explanation:

#"let "y=4x-1#

#"rearrange making x the subject"#

#rArr4x-1=y#

#"add 1 to both sides"#

#rArr4x=y+1#

#"divide both sides by 4"#

#rArrx=1/4(y+1)#

#"the variable is usually in terms of x"#

#rArrf^-1(x)=1/4(x+1)#

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