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muminat
2 years ago
13

What is the inverse of the function f(x) = x - 12?

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
7 0

Answer: \displaystyle f(x)^{-1}=x+12

Step-by-step explanation:

     First, we will rewrite the function in terms of <em>y</em> as in y = x - 12.

     Second, we will swap the x and y values.

y = x - 12

x = y - 12

     Third, we will solve for y. In other words, we will isolate the <em>y</em> variable and get it "by itself" on one side of the equal sign.

x = y - 12

x + 12 = y

y = x + 12

      Lastly, we will change y back into terms of the function, but the inverse.

\displaystyle f(x)^{-1}=x+12

<em>Learn more about the </em><em>inverse of a function</em><em> here:</em>

<em>brainly.com/question/940569</em>

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Which of the following numbers can be expressed as repeating decimals? 3 over 7, 2 over 5, 3 over 4, 2 over 9
Maurinko [17]

Hello!

Let's think about the denominators we have. A seventh goes on forever in no specified order. A fifth an a fourth have set decimal values, 0.2 and 0.25, so they are not repeating decimals. A ninth is 0.111111..., it repeats like this forever in a specified order. Therefore, 2/9, or 0.222222...., would be a repeating decimal.

Therefore, our answer is \boxed {\frac{2}{9}}.

I hope this helps!

6 0
3 years ago
Identify the values that should be written to complete the X diagram.
cestrela7 [59]

Answer:

See the attachment for what goes on your X diagram.

Rewrite: x² -7x +4x -28

Grouping: (x² -7x) +(4x -28) = x(x -7) +4(x -7) = (x +4)(x -7)

Step-by-step explanation:

The given quadratic is ...

... x² -3x -28 . . . . . a=1, b=-3, c=-28

a) The value at the top of the X diagram is the product a·c = 1·(-28) = -28.

The value at the bottom of the X diagram is the coefficient b = -3.

The values on the sides of the diagram are the factors of -28 that add up to make -3. These are -7 and 4. That is, ...

(-7)·(4) = -28

(-7)+(4) = -3

b) Since the two values on the sides of the diagram add up to give "b", the value of "b" in the equation can be rewritten as the sum of these two numbers. Doing that, we have ...

... x² -3x -28

... = x² +(-7+4)x -28

... = x² -7x +4x -28 . . . . . . order does not matter. It could also be x² +4x -7x -28

c) We can group pairs of terms in the rewritten expression and factor each pair.

... = (x² -7x) +(4x -28) . . . . . first pair has a common factor of x; second pair, 4

... = x(x -7) +4(x -7) . . . . . . . these terms now have a common factor: (x -7)

... = (x +4)(x -7) . . . . . . . . . . the complete factorization of x² -3x -28

3 0
3 years ago
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kolezko [41]

Answer: A, D, & E

Step-by-step explanation:

they are all correct when 5 is plugged in.

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3 years ago
Write 21/4 as a decimal. Round to three decimal places
Nadusha1986 [10]

5.250

To change a fraction to a decimal fraction divide the numerator by the denominator.

that is 21 ÷ 4 = 5.250 ( to 3 decimal places )


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