Question

Find the domain of each of the following functions.

(i) f(x) = (x - 2)/(x + 3)

(ii) f(x) = (x + 4)/(x - 3)

(iii) f(x) = 1/x - 1

(iv) f(x) = 1/x + 1

(v) f(x) = (x - 1)/(x² - 3x + 2)

(vi) f(x) = (x² - 5x + 4)/(x² - 3x + 2)

(vii) f(x) = (x² + 4)/(x² - 2)

(viii) f(x) = (x² + 9)/(x² - 4)

(ix) f(x) = (x² + x + 1)/(x² - x + 1)

(x) f(x) = (3x² + 9x + 17)/(3x² + 9x + 7)

Answer 1

(i) D_f = R – {–3} 

(ii) D_f = R – {3} 

(iii) D_f = R – {0} 

(iv) D_f = R – {0} 

(v) D_f = R – {1, 2} 

(vi) D_f = R – {1, 2} 

(vii) D_f = R 

(viii) D_f = R – {–2, 2} 

(ix) D_f = R 

(x) D_f = R