Answer the following questions and show work- I don't understand them so if you could provide an explanation that would be extremely helpful! Thank you!

1.

Suppose fand g are continuous functions such that g(5) = 4 and lim [3/(x) + f(x)g(x)] = 35. Find A(5). x - 5Find the horizontal and vertical asymptotes of the curve. 4x- + x - 3 X-+x - 42 (smaller x-value) (larger x-value)Find a formula for a function fthat satisfies the following conditions. lim ((x) = 0, lim f(x) = -*, f(3) = 0 X -+ +co X - 0 lim f(x) = 0, lim f(x ) = - x-+7 X-7+ f( x ) =Evaluate the limit using the appropriate properties of limits. 6x2 - x + 3 lim X -+ 0 3x~ + 5x - 3 X