Math Questions With Answers (7): Domain of Function

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

Question 1

Find the domain of f(x) = 2x + 7.

Question 2

What is the domain of g(x) = 1 / (- x + 8).

Question 3

Find the domain of h(x) = (x - 6) / (2x - 8).

Question 4

What is the domain of f(x) = 5 / SQRT(-x + 4)?

Question 5

Find the domain of h(x) = SQRT(-x + 5) / SQRT(x - 3).

Question 6

Find the domain of f(x) = SQRT(|x| - 5).

Question 7

Find the domain of f(x) = SQRT(|3x - 8| - 5).

Question 8

Find the domain of f(x) = (3x - 6) / (x2 + 2x - 8).

Question 9

Find the domain of h(x) = (3x - 6) / SQRT (x2 + 2x - 8).

Question 10

Find the domain of g(x) = |2x - 4|.

Question 11

Find the domain of h(x) = ln(|2x - 9|).

Question 12

Find the domain of g(x) = 1 / (x2 + 6).

Question 13

Find the domain of g(x) = 1 / SQRT( x2 + 2x + 6).

Question 14

Find the domain of h(x) = 1 / SQRT( | - x2 - 9 | ).

Question 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 )}?

Question 16

Find the domain of g(x) = 1 / [ 2 - SQRT( x + 2 ) ].

Question 17

What is the domain of f(x) = eln(x)

Question 18

What is the domain of f(x) = 1 / Log(2x - 3)?

Question 19

Find the domain of g(x) = ln (2x - 8)

Question 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 References and Links to Graphing

Find the Domain of a Function
math questions and problems with detailed solutions .