Question

Solution n steps...................

Answer 1

Choice b is the answer.

Explanation:

We have given two function.

f(x) = 3x²+x⁴+2 and g(x) = 4x-3

We have to find the of the the quotient of given two function.

The formula to find the quotient of two function is:

(f/g)(x) = f(x) / g(x)

Putting values in above formula, we have

(f/g)(x) = 3x²+x⁴+2 / 4x-3

Hence, 4x-3 ≠ 0

4x ≠ 3

x ≠ 4 /3

Hence, the domain of f/g is set of all real numbers except x ≠ 4/3.

Choice b is the answer.

Answer 2

Choice C is correct

Step-by-step explanation:

The domain of a function is defined as the values of x for which the function is real and defined. For a rational function, the function will be defined everywhere except where the function in the denominator assumes a value of zero. In order to determine the points of discontinuity, we solve the equation; 4x-3=0

This yields x = 3/4 as the only singularity point. The domain of the function is thus; all real numbers except 3/4