3 years ago

In the equation x=y^3 - 10, is y a function of x?

Mathematics

1 answer:

natali 33 [55]3 years ago

3 0

Answer:

Step-by-step explanation:

If y is a function of x, then the equation would be written as a "y =" equation, not an "x = " equation. This example is one where x is a function of y.

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Threeangles of a quadrilateral are equal and its fourth angel is 120° . Find all the angels

lilavasa [31]

Answer:

80°

Step-by-step explanation:

Three angles are equal

Let the equal angle be x

3x+120=360

3x=240

x=240/3

=80

Hence the three angles are 80∘

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3 years ago

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Someone plsss help me quick

Marina CMI [18]

Answer:

15b + 30

Step-by-step explanation:

By expansion (6 x 2.5b) + (6 x 5)

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3 years ago

A theatre ticket costs £63 plus a booking fee of 3% what is the total price of the ticket

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4 years ago

A triangle has an area of 72 square inches. If the base of the triangle has a length of 18 inches, what is the height of the tri

Alecsey [184]

It could be 8 since 8x18= 144 and 144 divided by 2 is 72

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4 years ago

Graph the inverse circular function by hand, given f(x) = 3sin(2x) ;-pi/4 ≤ ≤pi/4

nasty-shy [4]

Part a)

a) The given function is

$f(x) = 3 \sin(2x)$

We let

$y = 3 \sin(2x)$

Interchange x and y.

$x= 3 \sin(2y)$

Solve for y;

$\frac{x}{3} = \sin(2y)$

$y = \frac{1}{2} { \sin}^{ - 1}( \frac{x}{3} )$

${f}^{ - 1}(x) = \frac{1}{2} { \sin}^{ - 1}( \frac{x}{3} )$

Part b) The range of f(x) refers to y-values for which f(x) exists.

The range of f(x) is

$- 3 \leqslant y \leqslant 3$

This is because the function is within y=-3 and y=3.

c) The range of

${f}^{ - 1} (x)$

$- \frac{ \pi}{4} \leqslant y \leqslant \frac{\pi}{4}$

The domain is -3≤x≤3

This is because the domain and range of a function and its inverse swaps.

Part d) The graph is shown in the attachment.

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4 years ago