8 Determine the domain of the function fx 4x 94x 40 Solut

8.

Determine the domain of the function f(x) = 4x - 9/4x + 40

Solution

f(x) = (4x - 9)/(4x + 40)

function is defined for all x except when the denominator is zero

Denominator = 0 ==> 4x + 40 = 0

==> 4x = -40

==> x = -10

at x = -10 , function is undefined.

Hence Domain is (- , -10) U (-10 , )