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3 years ago

Find the inverse function for f(x)=sqrt2x-6 picture below

Mathematics

1 answer:

Olenka [21]3 years ago

6 0

Answer:

y = (x^2 + 6) / 2

Step-by-step explanation:

Original function: $\sqrt{2x - 6}$

To find the inverse of a function we have to switch the x and y values and solve for y again

x = sqrt (2y-6)

To get rid of a square root we square the square root so:

x^2 = 2y-6

Add 6

x^2 + 6 = 2y

Divide by 2

y = (x^2 + 6) / 2

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What is the value of x?

Sergio [31]

Hi there!

In order to find x, we'll need to set up a proportion. This proportion is 77/22 = 87.5/x. Now, we need to cross-multiply, leaving us with 77x = 1925. Lastly, we'll need to divide in order to get the section that makes up the missing part of x. This is 25 ft. All that is left to do to find the total value of x is to add 25 and 22 together. The value of x is 47 feet.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

6 0

3 years ago

The sum of - 7/9 and 11/18 is _____

ollegr [7]

Answer:

$-\frac{1}{6}$

Step-by-step explanation:

Common denominator: 18

-14/18 + 11/18

= -3/18

Reduce:

-1/6

6 0

3 years ago

Read 2 more answers

Find the length of the arc of the circular helix with vector equation r(t) = 2 cos t i + 2 sin t j + tk from the point (2, 0, 0)

USPshnik [31]

$\vec r(t)=2\cos t\,\vec\imath+2\sin t\,\vec\jmath+t\,\vec k$

$\implies\vec r'(t)=-2\sin t\,\vec\imath+2\cos t\,\vec\jmath+\vec k$

$\implies\|\vec r'(t)\|=\sqrt{(-2\sin t)^2+(2\cos t)^2+1^2}=\sqrt5$

Then the length of the arc is

$\displaystyle\int_0^{2\pi}\|\vec r'(t)\|\,\mathrm dt=\sqrt5\int_0^{2\pi}\mathrm dt=2\sqrt5\,\pi$

4 0

3 years ago

Imani is selling T-shirts for a student council fund-raiser. She spent $100 on

Kruka [31]

Answer:

Step-by-step explanation:

the domain is gonna be ur x values and ur range is gonna be ur r(x) values

the domain has to do with the number of t-shirts.....and it can range from 0 to 25.......so it would be written as : [0,25]...include the brackets....not parenthesis...or all whole numbers from 0 to 25

the range has to do with the money made....and it can range from : -100 to 200....so it would be written as : [ -100,200] ..use brackets and not parenthesis.

3 0

3 years ago

Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value o

photoshop1234 [79]

A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as: p⇒q,

and read "if p then q"

Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.

Let q be the proposition: The sides of triangle ABC are such that

$|AB|^2=|BC|^2+|AC|^2$ .

An example of a conditional statement is : p⇒q, that is:

if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that $|AB|^2=|BC|^2+|AC|^2$

This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True,

the converse, inverse and contrapositive of p⇒q are defined as follows:

converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p

Converse of our statement:

if The sides of triangle ABC are such that $|AB|^2=|BC|^2+|AC|^2$
then Triangle ABC is a right triangle with m(C)=90°

True

Inverse of the statement:

if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that $|AB|^2=|BC|^2+|AC|^2$

True

Contrapositive statement:

if The sides of triangle ABC are not such that $|AB|^2=|BC|^2+|AC|^2$ then Triangle ABC is not a right triangle with m(C)=90°

True

4 0

3 years ago