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4 years ago

8

Vocabulary Is a repeating decimal a rational number?

1 answer:

Elodia [21]4 years ago

5 0

Answer:

yes

Step-by-step explanation:

repeating decimal. when a fraction is changed to a decimal and the remainder is not zero, a digit or a block of digits will eventually start to repeat. terminating or repeating decimal. since a rational number is a number that can be written as a fraction, every rational number can be expressed as either.

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Step-by-step explanation:

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Find the inverse of f(x) = -4x - 12

olga2289 [7]

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$\implies f^{-1}(x) =-\dfrac{x}{4}-3$

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

f(x) = -4x-12

And we need to find out the Inverse of the function . Let us assume that f(x) = y . Now , firstly replace x with y and vice versa.

<u>Function</u><u> </u><u>:</u><u>-</u><u> </u>

$\implies f(x) = -4x - 12 \\\\\implies y = -4x-12$

<u>Interchanging</u><u> </u><u>x </u><u>and </u><u>y </u><u>:</u><u>-</u><u> </u>

$\implies x = -4y - 12$

<u>Solve </u><u>out</u><u> </u><u>for </u><u>y </u><u>:</u><u>-</u><u> </u>

$\implies x = -4y - 12 \\\\\implies -4y = x +12 \\\\\implies y =\dfrac{x+12}{-4}\\\\\implies y =-\dfrac{x}{4}-3$

<u>Replace</u><u> </u><u>y with</u><u> </u><u>f-¹</u><u>(</u><u>x)</u><u> </u><u>:</u><u>-</u><u> </u>

$\implies f^{-1}(x) =-\dfrac{x}{4}-3$

<u>Hence </u><u>the </u><u>inverse</u><u> of</u><u> the</u><u> function</u><u> is</u><u> </u><u>-x/</u><u>4</u><u>-</u><u>3</u><u> </u><u>.</u>

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3 years ago