For f(x)= 3x+1 and g(x)= x^2-6, find (g/f)(x). a. 3x+1/x^2-6 , x≠ ±√6 b. 3x+1/x^2-6 c. x^2-6/3x+1 d. x^2-6/3x+1, x≠ -1/3

Step-by-step explanation:

Given functions,

∵

By substituting the values,

Which is a rational function,

We know that,

A rational function is defined for all real numbers except those for which denominator = 0,

If

i.e. domain restriction of g/f is x≠ -1/3

Hence, OPTION D is correct.