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.