Maths
Grade-10
Easy
Question
Find the domain of the function ![q left parenthesis x right parenthesis equals square root of x plus 5](data:image/png;base64,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)
Hint:
The domain of a function is the set of numbers that can go into a given function. In other words, it is the set of x-values that you can put into any given equation.
The correct answer is: ![x greater or equal than 0 space](data:image/png;base64,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)
Given,
. We have to find the domain.
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow square root of x greater or equal than 0 end cell row cell not stretchy rightwards double arrow x greater or equal than 0 end cell end table](data:image/png;base64,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)
Hence, the correct option is C.
The set of possible y-values is called the range.