How do you find the equation for the inverse of #y=6x-3#?

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Answer 1 · 2018-07-22T13:04:47

#f^-1(x)=(x+3)/6#

#"rearrange making x the subject"#

#6x-3=y#

#6x=y+3#

#x=(y+3)/6#

#rArrf^-1(x)=(x+3)/6#

Answer 2 · 2018-07-22T13:12:45

#y=\frac{x+3}{6}#

Given function:

#y=6x-3#

#6x=y+3#

#x=\frac{y+3}{6}#

Now, setting #y=x# & #x=y# in above function, we get the inverse function

#y=\frac{x+3}{6}#