# Math Questions With Answers (7): Domain of Function

Math questions on domain of functions, including logarithmic functions. Answers to these questions are also provided and are located at the lower part of the page.

 Questions 1: Find the domain of f(x) = 2x + 7. Questions 2: What is the domain of g(x) = 1 / (- x + 8). Questions 3: Find the domain of h(x) = (x - 6) / (2x - 8). Questions 4: What is the domain of f(x) = 5 / SQRT(-x + 4)? Questions 5: Find the domain of h(x) = SQRT(-x + 5) / SQRT(x - 3). Questions 6: Find the domain of f(x) = SQRT(|x| - 5). Questions 7: Find the domain of f(x) = SQRT(|3x - 8| - 5). Questions 8: Find the domain of f(x) = (3x - 6) / (x2 + 2x - 8). Questions 9: Find the domain of h(x) = (3x - 6) / SQRT (x2 + 2x - 8). Questions 10: Find the domain of g(x) = |2x - 4|. Questions 11: Find the domain of h(x) = ln(|2x - 9|). Questions 12: Find the domain of g(x) = 1 / (x2 + 6). Questions 13: Find the domain of g(x) = 1 / SQRT( x2 + 2x + 6). Questions 14: Find the domain of h(x) = 1 / SQRT( | - x2 - 9 | ). Questions 15: What is the domain of function g defined by a set of ordered pairs as follows: g = {( 3 , 2 ) , ( 5 , 9) , ( 6 , 9 ) , (11 , 0 )}? Questions 16: Find the domain of g(x) = 1 / [ 2 - SQRT( x + 2 ) ]. Questions 17: What is the domain of f(x) = eln(x) Questions 18: What is the domain of f(x) = 1 / Log(2x - 3)? Questions 19: Find the domain of g(x) = ln (2x - 8) Questions 20: Find the domain of g(x) = Log (x2 + 3x - 10). ANSWERS TO ABOVE QUESTIONS 1) (- infinity , + infinity) 2) (- infinity , 8) U (8 , + infinity) 3) (- infinity , 4) U (4 + infinity) 4) (- infinity , 4) 5) (3 , 5] 6) (- infinity , -5] U [5 , + infinity) 7) (- infinity , 1] U [13/3 , + infinity) 8) (- infinity , -4) U (-4 , 2) U (2 , + infinity) 9) (- infinity , -4) U (2 , + infinity) 10) (- infinity , + infinity) 11) (- infinity , 9/2) U (9/2 , + infinity) 12) (- infinity , + infinity) 13) (- infinity , + infinity) 14) (- infinity , + infinity) 15) {3 , 5 , 6 , 11} 16) [- 2 , 2) U (2 , + infinity) 17) (0 , + infinity) 18) (3/2 , 2) U (2 , + infinity) 19) (4 , + infinity) 20) (- infinity , -5) U (2 , + infinity) More math questions and problems with detailed solutions in this site.