Question

Domain and range of 1/2x-1

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

So, the Above Equation can be written as,

“ y = x+1/2x+1 ” ………… (1)

So, We can put any Value for x except -1/2.

Therfore, Domain for the Above Equation will be,

= R - {-1/2}

Now, for Range we have to First Write the above Eqn. in terms of y

i.e. “x = 1 - y/2y - 1”

Here,We can put any value for y except 1/2.

Therefore, Range will be ,

= R - {1/2}

Here,

R = All Real Numbers

R - {-1/2} = All Real Numbers except -1/2.

Reason behind is, if we put -1/2 as value of “x” , it will produce ZERO in Denominator which makes the Equation as Not Defined.

R - {1/2} = All Real Numbers except 1/2.

Reason behind is, if we put 1/2 as value of “y” , it will produce ZERO in Denominator which makes the Equation as Not Defined.

Thank you for Reading.