exam Maths Puzzle Numerical Ability

PLEASE HELP ME WITH THIS PROBLEM:
FIND THE HORIZONTAL ASYMPTOTE OF THE RATIONAL FUNCTION f(x)= 8x-12 over 4x-2

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exam Other Question

Let f(x)= x + 4 and g(x) = x2 + 5. Write and expression for each function. State any restrictions.
This is what I tried.
x+4 -x2 + 5 = -x2 + x + 9 (is that right?)
calculate the value of the discriminant of x^ + 2x +1 = 0 by examining the sign of the discriminant in part a, how many x- intercepts would the graph of y + x^ + 2x +1 have ? Why?