2 years ago

PLEASE HELP! The table defines a function (x:7,10,13,16) (y:21,30,39,48)

Mathematics

1 answer:

Nataly [62]2 years ago

6 0

Answer:

(x:21,30,39,48)(y:7,10,13,16)

Step-by-step explanation:

For an inverse, the x value becomes the output and the y values becomes the input

(x:21,30,39,48)(y:7,10,13,16)

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F(x)= <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%20-%207%7D%7B10%7D%20" id="TexFormula1" title=" \frac{4x - 7}{10} "

Naily [24]

Answer:

To find f-¹(x) of f(x) equate f(x) to y

That's

f(x) = y

So we have

$y = \frac{4x - 7}{10}$

Next interchange the variables that's x becomes y and y becomes x

That's

$x = \frac{4y - 7}{10}$

Next make y the subject

Cross multiply

We have

4y - 7 = 10x

Move -7 to the right side of the equation

4y = 10x + 7

Divide both sides by 4

We have the final answer as

$y = \frac{10x + 7}{4}$

$f ^{ - 1} (x) = \frac{10x + 7}{4}$

Hope this helps you

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