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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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Find the slope of a line passing through these ordered pairs. Show your work.<br> (2, 4) (15, 9)
Anuta_ua [19.1K]

Answer:

The slope of line passing through points (2 , 4) and (15 , 9) is  \dfrac{5}{13}

Step-by-step explanation:

Given as :

A line is passing through the points

i.e x_1 , y_1 = 2 , 4

And  x_2 , y_2 = 15 , 9

Let The slope of line = m

<u />

<u>Now, Slope of line is determine as</u>

slope = \dfrac{y_2-y_1}{x_2-x_1}

Or, m = \dfrac{y_2-y_1}{x_2-x_1}

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Or, m = \dfrac{5}{13}

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Hence, The slope of line passing through points (2 , 4) and (15 , 9) is  \dfrac{5}{13}  Answer

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