Choose äll functionsf̈rom the list below that are defined at...

Choose \"all functions\" from the list below that are defined at $x = \pi$. There might be more than one correct answer. $f_3(x) = \cos^{-1}(x)$ $f_1(x) = \sin(x)$ $f_4(x) = \sec^{-1}(x)$ $f_2(x) = \csc(2x)$

Transcript

00:01 In this question, we are asked to select the functions which are all linear.

00:06 We are asked you to select the linear functions from the given values.

00:10 Now let us see what is meant by linear function.

00:15 Linear function.

00:19 We have a general, we can see that all are two variable functions.

00:25 We have two variables, y and x, or any other variables you can take.

00:30 One is independent variable and another one is dependent.

00:42 That means x is independent and y depends on x that that means value of y depends on value of x so a linear function means the dependent variable should be should be should relate to independent variable with the order 1 that means power 1 suppose y equal to a plus b x as you can see the power of x here is 1 i am writing with different color the power of x here is 1 so this is linear function suppose if it is c x is square you can see that power is x squared term we are getting square term so this is not linear this is not linear so linear term means y equal to a plus the function which is in the form y a plus bx is called a linear function so now from the given data we can see that y equal to it's it's in the form a plus bx where 2 is a and sorry i will write with another color so you can see it clearly and also increase the thickness as you can see that the two is nothing but a and four by five is nothing but v and also the power of x is one so this is a linear function as you can see y equal to minus two x the power of x is cube three so this is not a linear function uh again here you can see that t the power of t is one so this is a linear function again...

Question

Choose \"all functions\" from the list below that are defined at $x = \pi$. There might be more than one correct answer. $f_3(x) = \cos^{-1}(x)$ $f_1(x) = \sin(x)$ $f_4(x) = \sec^{-1}(x)$ $f_2(x) = \csc(2x)$

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