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Goryan [66]
3 years ago
13

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

Mathematics
2 answers:
Novay_Z [31]3 years ago
6 0

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}

Margarita [4]3 years ago
6 0

Answer:

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

Step-by-step explanation:

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

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

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