Find the inverse function of f. f(x) = 1 + 3 x

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Find the inverse function of f.
f(x) = 1 + 
3x
Jul 2nd, 2015

Thank you for the opportunity to help you with your question!

Your equation is: 

f(x) = 1 + 3x

Solve for x. 

Subtract 1 to both sides of this equation to get: 

f(x) -1 = 3x 

Divide both sides of this equation by 7 to get: 

(f(x) -1)/3 = x 

Since, in general, a = b implies that b = a, this equation becomes: 

x = (f(x) -1)/3

Replace x with f(x) and replace f(x) with x to get: 

f(x) = (x-1)/3

That's your inverse function. 


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 2nd, 2015

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