How to find a domain and range and express it in a function

Mathematics

1 answer:

harina [27]3 years ago

4 0

Answer: To find the excluded value in the domain of the function, equate the denominator to zero and solve for x .

Step-by-step explanation:

For example, in the problem below The domain of the function is set of real numbers except −3 . The range of the function is same as the domain of the inverse function. So, to find the range define the inverse of the function.

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Eight times the sum of a number and 4 equals 3

BigorU [14]

The algebraic expression is: $8(x+4)=3$

And Value of x is: $x=\frac{-21}{8}$

Step-by-step explanation:

We need to write the expression of the statement:

Eight times the sum of a number and 4 equals 3

Let the number = x

The expression will be:

$8(x+4)=3$

Solving the expression to find value of x:

$8(x+4)=3\\8x+24=3\\Adding\,\,-24\,\,on\,\,both\,\,sides:\\8x+24-24=3-24\\8x=-21\\x=\frac{-21}{8}$

So, The algebraic expression is: $8(x+4)=3$

And Value of x is: $x=\frac{-21}{8}$

Keywords: Algebraic Expression

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Nezavi [6.7K]

In About 13 days the water in the tank will hit 6000 gallons

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lora16 [44]

One way is to:

First, multiply 2 by the term inside the parenthesis.

Second, add eleven on both sides.

Third, divide using 4x on both sides.

This will give you your first method.

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Use the Binomial Theorem to expand each binomial (2x-1)^6

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a rectangular pyramid has a volume of 190 cubic centimeters. Find two possible sets of measurements for the base area and height

DerKrebs [107]

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Solution:

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$Volume = \frac{1}{3} \times base\ area \times height$