Question

Let ( g(x) = 10x/x³ + 5x ). ( g ) is continuous for all real numbers. Find ( g(0) ).

a) 0
b) 1
c) Undefined
d) Infinity

Answer 1

To find g(0), substitute 0 for x in the function g(x) = 10x/x³ + 5x. The answer is option c) Undefined.

Step-by-step explanation:

To find g(0), we substitute 0 for x in the function g(x) = 10x/x³ + 5x.

So, g(0) = 10(0)/(0³) + 5(0).

Since any number divided by 0 is undefined, g(0) is also undefined. Therefore, the answer is option c) Undefined.