2 years ago

6x+9/x-5 x is not equal to 5 find inverse

1 answer:

3 0

You have f(x)=(<span>6x+9)/(x-5) and want to find the inverse function? Please note that the parentheses are obligatory here.

1. Replace "f(x)" with y: y = </span>(6x+9)/(x-5)
<span>
2. Interchange the variables x and y: x</span> = (6y+9)/(y-5)

3. Solve this result for y: x(y-5) = (6y+9), or xy-5x = 6y+9. Then:

xy-6y = 9 + 5x, or y(x-6) = 9+5x
9+5x
Then y = --------------
x-6

Here x may not = 6, because division by zero would occur otherwise.

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