Determine the domain of the following functions Express your

Determine the domain of the following functions. Express your answer using interval notation. The linear function l(x) = Ax + 9. The exponential function e(x) = 49^x. The quadratic function q(x) = 4x^2 + 9. The polynomial function p(x) = 4x^9 + 9x^4. The rational function r(x) = 4/9x.

Solution

a) f(x) = 4x+9

all real values is in domain

Domain : ( -inf, inf)

b) e(x) = 49^x

Domain : ( -inf, +inf)

c) q(x) = 4x^2 +9

Its is defined for all real values of x.

Domain : ( -inf, +inf)

d) p(x) = 4x^9 + 9x^4

Its a ploynomial function

defined for all real values of x.

Domain : ( -inf, +inf)

e) r(x) = 4/9x

Denominaotr should not be zero

So, r(x) is not defined for x=0

Domain : ( -inf, 0) U (0, inf)