Math, asked by rajkumar1111119, 9 months ago

the domain of the function f o g , where f(X)=√x and g(X)=√2-x is [-infinity,2] true or false explain ​

Answers

Answered by Ranveer01
4

Answer:

True

Step-by-step explanation:

f •g = f(g(x))

 = f(g(x)) = f( \sqrt{2}  - x)

 =  \sqrt{ \sqrt{2}  - x}

Yes, the domain of the function is [-∞, 2]

If x is greater than 2, (√2 - x) becomes negative. Negative integer inside the root is not possible for a real number

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