Find inverse of f(x)=3x+1

asked Jan 13, 2015 92.3k views

1 vote

by Lomse

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3 votes

f:R->R, f(x) = 3x+1;Let be g the inverse of f;3x+1 = y => 3x = y-1 => x = (y-1)/3;g:R->R, g(y) = (y-1)/3;

Nnnmmm answered Jan 14, 2015

7.2k points

7 votes

$f(x)=3x+1\to y=3x+1\\\\3x+1=y\ \ \ \ \ |-1\ both\ sides\\\\3x=y-1\ \ \ \ \ |:3\ both\ sides\\\\x=(1)/(3)y-(1)/(3)\\\\Answer:f(x)=(1)/(3)x-(1)/(3)$

Excellent answered Jan 18, 2015

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