Give the domain and range of the following functions:

Question

f(x) = 1⁄4x – 7

g(x) = 3x2+ 2

Answer 1

the domain of all polynomials is all real numbers.

the domain of rational functions is wherever the denominator is not zero.

3x^2+2 is clearly a minimum when x=0, so the range is [2,∞)