Question 225852
Find the inverse of the given function:

f(x)= 3x + 13


Step 1.  Let f(x)=y, then y=3x+13.  Now solve for x.


Step 2.  Subtract 13 from both sides of the equation


{{{y-13=3x+13-13}}}


{{{y-13=3x}}}


Step 3.  Divide by 3 to both sides of the equation


{{{(y-13)/3=3x/3}}}


{{{(y-13)/3=x=g(y)}}} where g(y) is the inverse function


Step 4.  ANSWER the inverse is {{{g(y)=(y-13)/3}}}


So check answer with following {{{g(f(x)=x)}}} where we substitute f(x) into g(y).   Then, {{{g(f(x))=((3x+13)-13)/3=(3x)/3=x}}} which is true that {{{g(f(x))=x}}}.


I hope the above steps were helpful.


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And good luck in your studies!


Respectfully,
Dr J

http://www.FreedomUniversity.TV