Question

What is the inverse of the function f(x) = 1/4x - 12?

Oh(x) = 48x - 4
Oh(x) = 48x + 4
O h(x) = 4x - 48
O h(x) = 4x + 48

Answer 1

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`\large\boxed{h(x) = 4x + 48}`

`f(x) = (1)/(4)x - 12`

Find the inverse. Begin by swapping the x and y (f(x)) variables:

`x= (1)/(4)y - 12`

Begin isolating for y. Add 12 to both sides:

`x + 12 = (1)/(4)y`

Multiply both sides by 4:

`4(x + 12) = (1)/(4)y * 4`

`4x + 48 = y`

Therefore:

`h(x) = 4x + 48`