Question

Y=1/3arccos (3x-pi/3)+1​

Answer 1

График функции 0.333333*​arccos(​3*​x-​π/​3)+​1

Answer 2

To understand the given equation, let's break it down step by step:

1. Y: This represents the dependent variable (the output) of the equation.

2. The expression inside the arccos function: (3x - π/3)

3. The coefficient in front of the arccos function: 1/3

4. Adding 1 at the end: + 1

So, the equation can be written as:

Y = (1/3) * arccos(3x - π/3) + 1

This equation defines a function that takes the input value "x," applies some transformations to it, and gives the output value "Y." The function consists of three main parts:

1. (3x - π/3): This part calculates the value (3x - π/3).

2. arccos(): The arccosine function calculates the inverse cosine of the value obtained from the previous step. The result of arccos() is an angle (in radians) whose cosine is equal to the input value.

3. (1/3) * arccos(3x - π/3): This part scales the angle obtained from the arccos() function by multiplying it by 1/3.

4. • 1: Finally, 1 is added to the result of the previous step.

Keep in mind that the domain of this function depends on the domain of the arccosine function, which is -1 to 1. In this case, since (3x - π/3) is inside the arccosine, the domain of the entire function may be restricted to specific values of "x" to ensure that the input to the arccosine function remains within its valid domain.