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4 years ago

PLEASE HELP ASAP 25 PTS + BRAIANLIEST TO RIGHT/BEST ANSWER

Mathematics

2 answers:

MA_775_DIABLO [31]4 years ago

7 0

Replace f(x) with y:

y = x^2 -1

swap the variables:

x = y^2 -1

Solve for y:

Add 1 to each side:

y^2 = x+1

Take the square root of both sides:

y = √(x+1)

To complete the solution use both the positive and negative values.

f^-1(x) = +/+√(x+1)

The last answer is the right one.

Shkiper50 [21]4 years ago

6 0

Answer:

f^-1(x) = ±sqrt(x+1)

Step-by-step explanation:

f(x) = x^2 -1

To find the inverse, exchange x and y and then solve for y

y = x^2 -1

Exchange x and y

x = y^2 -1

Add 1 to each side

x+1 = y^2

Take the square root of each side

±sqrt(x+1) = sqrt(y^2)

±sqrt(x+1) = y

f^-1(x) = ±sqrt(x+1)

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A surface area of a cube is related to its volume V by A = 6. V(2/3). If the volume of a

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The surface area of the cube is 64 cm².

<h3 /><h3>What is volume?</h3>

Volume is the amount of space that is enclosed within a container.

To calculate the surface area of the cube, we use the relation below.

Formula:

A = 6V ${2/3}$ ............ Equation 1

Where:

A = Surface area of the cube
V = Volume of the cube.

From the question,

Given:

V = 35 cm³

Substitute this value into equation 1

A = 6(35) ${2/3}$
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Hence, The surface area of the cube is 64 cm².

Learn more about volume here: brainly.com/question/1972490

8 0

2 years ago

Which of the following is true about the expression √3 x 2

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Answer is C

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3 years ago

What is the least prime number that is a divisor N? N = (13 X 17) + (19 X 23)

Levart [38]

Answer:

Step-by-step explanation:

13 x 17=221

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3 years ago

Find the quotient and remainder for 52 Divided by eight

yawa3891 [41]

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Step-by-step explanation:

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4 years ago

A ray of light with intensity lo falls vertically on the sur face of the sea and at ten meters deep its intensity is 10/3. Assum

seropon [69]

Answer:

intensity = $\frac{Io}{15}$

intensity = $\frac{Io}{30}$

depth = 333.33 m

Step-by-step explanation:

given data

deep = 10 m

intensity = Io

intensity = Io/3

to find out

intensity of light at 50 m and 100 m and 1/100 of initial intensity remain ?

solution

we know here that intensity is inversely proportional to deep so

intensity = k × $\frac{1}{Deep}$ .................1

here k is constant

so we have given 10 m deep so

$\frac{Io}{3}$ = $\frac{k}{10}$

so k = Io × $\frac{10}{3}$ ................2

so from equation 1 when 100 m deep and 50 m deep

intensity = k × $\frac{1}{Deep}$

intensity = Io × $\frac{10}{3}$ × $\frac{1}{50}$

intensity = $\frac{Io}{15}$

and

intensity = Io × $\frac{10}{3}$ × $\frac{1}{100}$

intensity = $\frac{Io}{30}$

and

at intensity Io/100

intensity = k × $\frac{1}{Deep}$

$\frac{Io}{100}$ = Io × $\frac{10}{3}$ × $\frac{1}{D}$

D = 333.33 m

so depth = 333.33 m

3 0

3 years ago