What is the inverse of the function f(x) = 1/9x+ 2?

Mathematics

1 answer:

hichkok12 [17]1 year ago

4 0

Answer:

$f^{-1}(x) = 9x -18.$

Step-by-step explanation:

$y=f(x)=\dfrac 19 x +2\\\\\text{Replace x with y and then solve for y,}\\\\~~~~~~~x = \dfrac 19 y+2\\\\\implies 9x =y + 18~~~~~~~~~~~~~~~;[\text{Multiply both sides by 9}]\\ \\\implies y = 9x -18\\\\\implies f^{-1}(x) = 9x -18\\\\\text{Hence, the inverse of the given function is}~ f^{-1}(x) = 9x -18.$

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Read more about probabilities at:

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