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3 years ago

Determine the range of the inverse of f(x) = 2x + 1

Mathematics

2 answers:

aleksandrvk [35]3 years ago

7 0

Answer:

The range is all real numbers for the inverse

Step-by-step explanation:

f(x) = 2x+1

The domain is all real numbers

The range is all real numbers

For the inverse, the domain becomes the range

The range becomes the domain

The domain is all real numbers

The range is all real numbers

Bingel [31]3 years ago

7 0

Step-by-step explanation:

Given the function f(x) = 2x + 1

find : the range of the inverse of f(x) = 2x + 1

solutions:

f(x) = 2x + 1

y = 2x + 1

2x = y - 1

x = (y -1)/2

f~¹(x) = (x-1) /2

since the denominator is the constant number, so the range of function is all Real numbers

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3 years ago

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A pet store sells goldfish and hermit crabs,

Elis [28]

Answer:

$Cost = \$28$

Step-by-step explanation:

Given

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The first statement, we have:

$7g + 3h = 26$

The second statement, we have:

$4g + 5h = 28$

Required

Determine the selling price of 6 goldfish and 4 hermit crabs

The equations are:

$7g + 3h = 26$ --- (1)

$4g + 5h = 28$ --- (2)

Make g the subject in (2)

$4g + 5h = 28$

$4g = 28 - 5h$

Divide both sides by 4

$g = \frac{1}{4}(28 - 5h)$

Substitute $\frac{1}{4}(28 - 5h)$ for g in (1)

$7g + 3h = 26$

$7(\frac{1}{4}(28 - 5h)) + 3h = 26$

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Multiply through by 4

$4 * \frac{7}{4}(28 - 5h) + 4*3h = 26*4$

$7(28 - 5h) + 4*3h = 26*4$

Open bracket

$196 - 35h + 12h = 104$

$196 -23h = 104$

Collect Like Terms

$-23h = 104-196$

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Make h the subject

$h = \frac{-92}{-23}$

$h = \frac{92}{23}$

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Substitute 4 for h in $g = \frac{1}{4}(28 - 5h)$

$g = \frac{1}{4}(28 - 5*4)$

$g = \frac{1}{4}(28 - 20)$

$g = \frac{1}{4}(8)$

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This implies that:

1 goldfish = $2

1 hermit crab = $4

The cost of 6 goldfish and 4 hermit crabs is:

$Cost = 6g + 4h$

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$Cost = \$12 + \$16$

$Cost = \$28$

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3 years ago

G(x) = x2 - 2x +3 for g

user100 [1]

Answer:

Since

is on the right side of the equation, switch the sides so it is on the left side of the equation.

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Multiply

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from both sides of the equation.

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Use the quadratic formula to find the solutions.

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(

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Substitute the values

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(

−

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√

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Simplify.

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−

The final answer is the combination of both solutions.

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−

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Step-by-step explanation:

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3 years ago

Julie baked cupcakes for her family at home and for a party at school. She iced 4 cupcakes with red frosting, 2 cupcakes with or

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4 years ago

What number is it that, when multiplied by 18,27,36,45,54,63,72,81, or 99, gives a product in which the first and last figures a

allsm [11]

The given multipliers are factors of 9, the possible number will have 1 as first and last digit which gives the number as 101

<h3>How can the correct number be found?</h3>

The given numbers are;

18, 27, 36, 45, 54, 63, 72, 81, 99

Given that the first and the last figures are those of the multipliers, we have;

The first and last and last digit of the number can be 1, which gives;

Possible numbers includes; 11 and 101

By trying the possible numbers, the difference found is presented as follows;

99 × 11 = 1089 (The first and the last digit are not the same as the multiplier)

99 × 101 = 9999 (First and last digit are not the same as the multiplier)

90 × 11 = 990

90 × 101 = 9090

The correct option is therefore 101

The number is 101

Learn more about multiplication of numbers here:

brainly.com/question/83239

#SPJ1

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