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Dmitry_Shevchenko [17]
3 years ago
6

If f(x)=1/9x-2 , what is f–1(x)?

Mathematics
1 answer:
Anna71 [15]3 years ago
7 0
Lets get started :)

f(x) = \frac{1}{9}x - 2
 y   = \frac{1}{9}x - 2
This is the original equation, and now we have to find the inverse.

When finding the inverse, just flip the variables, x as y and y as x

f ⁻¹(x) 
  ↓
x = \frac{1}{9}y - 2
We have to isolate y as it is our f ⁻¹(x)

Take 2 to the other side { When you see subtraction, you do addition }
x + 2 = \frac{1}{9} y

Take 9 to the other side { When you see division, you do multiplication }
9 ( x + 2 ) = y
9x + 18 = y

f ⁻¹ (x) = 9x + 18


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