please answer the questions below

find lim ( 1 ( x 2 x + 3) - x ). Hint : rationalize the numerator AND Use implicit differentiation to determine an expression for y" as a function of x and y given : cos ( y ) = x5 15 ) Rex)= 4x find a number a such that the average rate of change of the function f on the interval (1, c ) is -45 Describe how the graph of 4= f (x+ 331 is a transfer - motion of the graph of the original function of " The Runction R(x) is shifted .... 33 units