Math Questions With Answers (7)

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.

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