How do you find the domain and range of y=(-4x-3)/(x-2)

sombereki51

sombereki51

Answered question

2022-09-20

How do you find the domain and range of y = 4 x 3 x 2 ?

Answer & Explanation

Guadalupe Reid

Guadalupe Reid

Beginner2022-09-21Added 8 answers

The denominator of y cannot be zero as this would make y undefined. Equating the denominator to zero and solving gives the value that x cannot be.
solve x 2 = 0 x = 2 excluded value
domain is x R , x 2
Rearrange the function and make x the subject
y ( x 2 ) = 4 x 3
x y 2 y = 4 x 3
x y + 4 x = 2 y 3
x ( y + 4 ) = 2 y 3
x = 2 y 3 y + 4
Again the denominator cannot be zero.
solve y + 4 = 0 y = 4 excluded value
range is y R , y 4

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