State the domain of each of the following functions:?

Question

a) f(x)= {(2,4) (1,-4) (3,6) (9,-3)}

b) f(x)= I2x=3I

c) f(x)=x^2-7

Answer 1

Domain is everything you can plug into the function and get something out. For example, if f(x) =1/x, you can plug in any real number except zero, since the function will give you 1/something; you can't plug in 0 because 1/0 doesn't make sense.

a) {2,1,4,9}
b) all real numbers
c) all real numbers

Answer 2

a)2,1,3,9
b) x=3/2 and x=-3/2
c) all real numbers