All categories

2 years ago

F (x) = -6 x + 1/2 : find the inverse

Mathematics

1 answer:

Scorpion4ik [409]2 years ago

5 0

The inverse of the given function is y = (12-x)/6

<h3>Inverse of a function</h3>

Given the following function expressed as:

f(x) = -6x +1/2

Replace y with x

x = -6y + 1/2

Make y the subject of the formula

6y = -x + 12

y = (12-x)/6

Hence the inverse of the given function is y = (12-x)/6

Learn more on inverse of function here: brainly.com/question/2873333

#SPJ1

You might be interested in

Which of the x-values are solutions to the following inequality? x< 100 Help ASAP

netineya [11]

Answer:

x = - infinity to 99

Step-by-step explanation:

The values of x must less than 100.

3 0

3 years ago

Solving Quadratic Equations using the Square Root Property

Afina-wow [57]

Answer:

$x = -2$ or $x = -5$

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

$x^2 + 7x + 10 = 0$

Subtract 10 from both sides.

$x^2 + 7x = -10$

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

$x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = \dfrac{9}{4}$

Now we use the square root property, if

$x^2 = k$ , then

$x = \pm \sqrt{k}$

$x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}}$

$x + \dfrac{7}{2} = \pm \dfrac{3}{2}$

$x + \dfrac{7}{2} = \dfrac{3}{2}$ or $x + \dfrac{7}{2} = -\dfrac{3}{2}$

$x = -\dfrac{4}{2}$ or $x = -\dfrac{10}{2}$

$x = -2$ or $x = -5$

5 0

3 years ago

Solving for systems: {y=3x+7 & y=5x-7

steposvetlana [31]

$\left\{\begin{array}{ccc}y=3x+7\\y=5x-7\end{array}\right\\\\substitute:\\\\5x-7=3x+7\\5x-3x=7+7\\2x=14\ \ \ \ /:2\\x=7\\\\y=3\cdot7+7=21+7=28\\\\Answer:x=7\ and\ y=28.$

8 0

3 years ago

Read 2 more answers

Please answer this correctly without making mistakes

iogann1982 [59]

Answer:

35% off

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Solve the equation. 11 = –d + 15 11 6 4 –4

Annette [7]

The answer is 4 because the d is already negative

7 0

3 years ago