The domain and range is the set of xx and yy values of a function
For finding the domain, focus on the value of the denominator
Recall that fractions cannot have 00 as the denominator or the value will be undefined. Also, since the value of the denominator is a square root, it cannot have a negative value.
2x-32x−3
>>
00
2x-12x−1+3
>
0+3
Add 3 to both sides
2x÷2
>
3÷2
Divide both sides by 2
x
>
32
Therefore, the domain is all real numbers greater than 32
The domain and range is the set of x and y values of a function
For finding the domain, focus on the value of the denominator
Recall that fractions cannot have 0 as the denominator or the value will be undefined. Also, since the value of the denominator is a square root, it cannot have a negative value.
3-4x
>
0
3-4x-3
>
0-3
Subtract 3 from both sides
-4x÷(-4)
>
-3÷(-4)
Divide both sides by -4
x
<
34
Flip the inequality
Therefore, the domain is all real numbers less than 34