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3 years ago

If someone could help me out :)

Mathematics

1 answer:

VladimirAG [237]3 years ago

8 0

Answer: 2

Step-by-step explanation: 2/4 = 1/2

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Given f(x)=-1/7√16-x^2 find f^-1(x)

Vera_Pavlovna [14]

Answer:

$f^{-1}(x)=\pm \sqrt{49x^2-16}$

Not a function.

Step-by-step explanation:

The given function is;

$f(x)=-\frac{1}{7}\sqrt{16-x^2}$

Let $y=-\frac{1}{7}\sqrt{16-x^2}$

Interchange x and y;

$x=-\frac{1}{7}\sqrt{16-y^2}$

Solve for y;

$-7x=\sqrt{16-y^2}$

Square both sides

$(-7x)^2=(\sqrt{16-y^2})^2$

$49x^2^2=16-y^2$

$49x^2^2-16=y^2$

$y=\pm \sqrt{49x^2-16}$

The inverse is

$f^{-1}(x)=\pm \sqrt{49x^2-16}$

$f^{-1}(x)=\pm \sqrt{49x^2-16}$ is not a function because one x-value maps onto to different y-values.

6 0

3 years ago

Helppp lol which system of linear equations is represented by the graph?

kondaur [170]

Answer:

y ≥ x - 2, and x + 2y < 4 ; Option C

Step-by-step explanation:

Consider the y - intercept and slope of 1 of these given lines,

$y - intercept = ( 0, - 2 ) / - 2\\slope = 1 / 1 = 1$

From this we can formulate the equation of 1 line;

$Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = 1, b = - 2,\\Equation of Line 1 - y = x - 2$

Now consider the y - intercept and slope of the remaining line;

$y - intercept = ( 0, 2 ) / 2\\slope = 1 / - 2 = - \frac{ 1 }{ 2 }$

This creates a line with the equation as such;

$Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = - 1 / 2, b = 2,\\Equation of Line 1 - y = - \frac{ 1 }{ 2 } x + 2, x + 2y = 4$

From this we see that the solution of the system is such;

Solution ; y ≥ x - 2, and x + 2y < 4 ; Option C

6 0

3 years ago

What does 5^3 mean or symbolize?

IrinaK [193]

5^3 is 5 to the power of 3 that is equal to 5x5x5=125

6 0

3 years ago

Read 2 more answers

Expand and simplify (x+5)(x-2)

lukranit [14]

Answer:

x² + 3x - 10

Step-by-step explanation:

Each factor in the second factor is multiplied by each term in the first factor, that is

x(x - 2) + 5(x - 2) ← distribute each parenthesis

= x² - 2x + 5x - 10 ← collect like terms

= x² + 3x - 10

7 0

3 years ago

How to graph a line passing through (3,-2) that’s perpendicular to the graph of x=-3 and writing a equation of it

VikaD [51]

check the picture below.

8 0

3 years ago