FINDING THE DOMAIN OF A RATIONAL FUNCTION WORKSHEET

Find the domain of the functions given below.

Problem 1 :

f(x)=1x+2-3

Solution

Problem 2 :

f(x)=19-x2

Solution

Problem 3 :

f(x)=1-xx-5

Solution

Problem 4 :

f(x)=9-x2x

Solution

Problem 5 :

t(x)=1x2-4-3

Solution

Problem 6 :

f(x)=x+3x-8

Solution

Problem 7 :

f(x)=xx+3

Solution

Answer Key

1)  {x| x ∈ R, x ≥ -2, x ≠ 7}

2)  (-3, 3)

3)  Ø

4)  [-3, 3]

5)  {x| x ∈ R, x ≥ 2 but x ≠ √13}

6)  {x| x ∈ R, x > 8 but x ≠ 8}

7) {x| x ∈ R, x > -3}

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