Given the exponential function f (x) and the logarithmic function g(x), which of the following statements is true?

Exponential function f of x equals 2 to the power of x plus 1 that increases to the right passing through the point 0 comma 2 and logarithmic function g of x equals log in base 10 of x minus 1 increasing from left to right passing through the point 1 comma negative 1

As x→∞, f (x)→∞ and g(x)→∞.
As x→∞, f (x)→∞ and g(x)→1.
As x→∞, f (x)→3 and g(x)→1.
As x→∞, f (x)→3 and g(x)→∞