Final answer:
The y-intercept of the function g(x) = 4x + 3 is (0, 3) and there is no horizontal asymptote.
Step-by-step explanation:
The y-intercept and horizontal asymptote of the function g(x) = 4x + 3 can be determined by analyzing the equation. The y-intercept is the value of y when x is equal to 0, which in this case is (0, 3). This means that the function intersects the y-axis at the point (0, 3). The horizontal asymptote represents the value that the function approaches as x approaches positive or negative infinity. In this case, the slope of the function is 4, which means that the function is increasing as x increases. Therefore, there is no horizontal asymptote.