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If f(x) = 4x + 12, to find the inverse, reverse the actions of the elements of the function in "reverse" order.

The last thing done is "+ 12", so reverse that first by "- 12"

The previous thing done was "× 4n, so reverse that by "÷ 4", but note that the divide takes precedence over subtract, so the previous step needs to be in brackets.

Thus if the inverse of f(x) is g(x), g(x) = (x - 12) ÷ 4

Q: What is the inverse of f of x equals 4x plus 12?

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It is: y = -4x+12

8x + 12 = 4x - 4 8x - 4x = -4 - 12 4x = -16 x = -4

4[x+3]=4x+12 4x+12=4x+12 it's open.

23 + 15x - 4x = 1215x - 4x = 12 -2311x = -11x= -1

6x+4 = x+12+4x-6 6x-x-4x = 12-6-4 x = 2

Related questions

If: 4x+(-12) = 8 then 4x = 20 and x = 5

It is: y = -4x+12

-5x + x + 9 = -4x + 12 -4x + 9 = -4x + 12 9 = 12 This equation has no solution.

8x + 12 = 4x - 4 8x - 4x = -4 - 12 4x = -16 x = -4

4[x+3]=4x+12 4x+12=4x+12 it's open.

23 + 15x - 4x = 1215x - 4x = 12 -2311x = -11x= -1

4x + 6 = 6x - 12-4x -4x6 = 2x - 12+12 +1218 = 2xx=9

6x+4 = x+12+4x-6 6x-x-4x = 12-6-4 x = 2

-2

19 (7 + 12 = 4x - 3x)

5x+12 = 4x-88 x = -100

y=4x+2