Find the linear approximation of the function g(x) = 3 1 + x at a = 0. g(x) ≈ Correct: Your answer is correct. Use it to approximate the numbers 3 0.95 and 3 1.1 . (Round your answers to three decimal places.)

2.835

3.330

Step-by-step explanation:

Let the linear approximation be L(x) at a = 0. This is given by

is the derivative of . To find this, we use the form

If , then

By doing this and applying chain rule for the power (which is a function of x), we have

Then

Also

Hence

For , and

Using this in ,

For , and

Using this in ,

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

alright well the answers to your question is

2xy/9 hope this have a nice day : )

step-by-step explanation: