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c. f(x) = 1 /4x² – 3
find the domain of the following function.

The domain of f(x) = 1/ 4x² -3 is R -{±√3/4}.

If the function is f(x) = (1/4x²) - 3, its domain will be R -{0}.

Step-by-step explanation:

You have to consider the value for which the denominator will be cero and exclude it from the domain of the function.

4x² - 3 = 0 ⇒ 4x² = 3 ⇒ x² = 3/4 ⇒ x = ±√(3/4)

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!