Question

If 8(x) is the inverse of f(x) and f(x) = 4x + 12, what is g(x)?

Answer 1

Answer:

$g(x)=\frac{x-12}{4}$

Step-by-step explanation:

To find the inverse of y=4x+12, all you need to is swap x an y and then remake y the subject.

y=4x+12

Swap x and y:

x=4y+12

Solve for y:

Subtracting 12 on both sides:

x-12=4y

Dividing 4 on both sides:

$\frac{x-12}{4}=y$

So $g(x)=\frac{x-12}{4}$

Answer 2

Answer:

[-12 + x]\4 = g(x)

Step-by-step explanation:

1. x = 4y + 12 [SWAP y and x]
2. -12 + x = 4y [Move -12 to the left side of the equivalence symbol]
3. [-12 + x]\4 = g(x) [Divide by 4]

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