Answer: y-12
Step-by-step explanation:
-3(y+4)+4y
first distribute teh -3 to the y and the 4, so you get -3y and -12. Then combine like terms. -3y-12+4y, add the -3y and 4y, you get y. So the answer is y-12.
I would say linear because it fits those requirements. An example of a linear equation could be y= x +1 and the variable is raised to the first power so it is its own self, it's variable is not in the denominator, absolute value symbol, nor a square root symbol.
So the question ask to calculate the linear approximation of the function g(x) = (1+x)^(1/3) at a = 0 and base on the given in the problem and further computation of the said problem, the linear approximation of the function is y = 1/3x + 1 I hope you are satisfied with my answer and feel free to ask for more