If f(x)= 3x+6 which of the following is the inverse of f(x)

f(x)^-1 = 1/3x - 2

Step-by-step explanation:

Replace f(x) with y and solve:

y = 3x + 6

Swap x and y

x = 3y + 6

Now isolate y

x/3 = 3y/3 + 6/3

1/3 x = y + 2

1/3 x - 2 = y + 2 - 2

y = 1/3x - 2 or f(x)^-1 = 1/3x - 2

For this case we have the following function:

We must find the inverse of the function, then:

Replace f (x) with y:

We exchange the variables:

We solve for "y":

Subtracting 6 on both sides of the equation:

Dividing between 3 on both sides of the equation:

We change y by , and finally we have:

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step-by-step explanation:

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