Question

Write the inverse function,
f^-1 (x), for the function
f (x) = 1/3x-4

Answer 1

`f(x) = (1)/(3)x - 4 \\`

`y = (1)/(3)x - 4 \\`

Subtract the sides of the equation plus 4

`y + 4 = (1)/(3)x \\`

Multiply the sides of the equation by 3

`3(y + 4) = x`

`3y + 12 = x`

So ;

`{f}^( - 1)(x) = 3x + 12`

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And we're done.

Thanks for watching buddy good luck.

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