victoriaxsantos1 victoriaxsantos1
  • 23-07-2017
  • Mathematics
contestada

Complete the steps in order to write the inverse of f(x) = x + 5

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konrad509
konrad509 konrad509
  • 23-07-2017
[tex]f(x)=x+5\\\\ y=x+5\\ x=y-5\\ f^{-1}(x)=x-5[/tex]
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irspow
irspow irspow
  • 23-07-2017
An inverse function produces points (y,x) for every point (x,y) produced by the parent function.  So to find the inverse function, you solve for the independent variable and when done switch the variable labels....

y=x+5  subtract 5 from both sides

y-5=x  now switch labels

y=x-5

So if f(x)=x+5

f^-1(x)=x-5
Answer Link

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