Find the domain and range of both f and f1 over the Real Num

Find the domain and range of both f and f^-1 over the Real Numbers.

Solution

f(x) = 3/(x + 5)

f’(x) = (3/x) - 5

Domain of f ======> x < -5   or   x > -5

Range of f =======> f(x) < 0    or    f(x) > 0

Domain of f^-1 =====> x < 0    or     x > 0

Range of f^-1 =======> f(x) < -5     or    f(x) > -5