Find Domain and Range of root of (9-x^2) || Mathematics:Important question Series for 12th board/2nd PUC board
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Пікірлер: 13
@prathamsinha8266 Жыл бұрын
Par sir agar yaha par x ki value 0(zero) dale to y root 9 ho jaye ga aur vo - 3 and +3 dono hoga?
@Kairav-lb8fh
11 ай бұрын
Same doubt bro
@prathamsinha8266
11 ай бұрын
@@Kairav-lb8fh 1. The square root is defined for positive values: 9-x^2 ≥ 0 ==> -3≤x≤3 ==> X Є [-3,3] 2. The minimum value for sqrt(9-x^2) is when x=3 and the minimum value is when x=0: Since sqrt(9-3^2)=0 and sqrt(9-0^2) = 3 then the range is [0,3]
@mathskartfor12thclass24
4 ай бұрын
You can understand in this way as well: Given that f(x)=√9−x2 The domain of the given function is x∈[−3,3] ⇒−3≤x≤3 ⇒0≤x2≤9 ⇒−9≤−x2≤0 ⇒0≤9−x2≤9 ⇒0≤√9−x2≤3 ⇒0≤f(x)≤3 The range of the function is [0,3].
Пікірлер: 13
Par sir agar yaha par x ki value 0(zero) dale to y root 9 ho jaye ga aur vo - 3 and +3 dono hoga?
@Kairav-lb8fh
11 ай бұрын
Same doubt bro
@prathamsinha8266
11 ай бұрын
@@Kairav-lb8fh 1. The square root is defined for positive values: 9-x^2 ≥ 0 ==> -3≤x≤3 ==> X Є [-3,3] 2. The minimum value for sqrt(9-x^2) is when x=3 and the minimum value is when x=0: Since sqrt(9-3^2)=0 and sqrt(9-0^2) = 3 then the range is [0,3]
@mathskartfor12thclass24
4 ай бұрын
You can understand in this way as well: Given that f(x)=√9−x2 The domain of the given function is x∈[−3,3] ⇒−3≤x≤3 ⇒0≤x2≤9 ⇒−9≤−x2≤0 ⇒0≤9−x2≤9 ⇒0≤√9−x2≤3 ⇒0≤f(x)≤3 The range of the function is [0,3].
@SonofGrace-lz7xj
3 ай бұрын
The simplification is top notch. Thanks sir
Thank you for walking through the process!
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Tq sir 🤗
Tnq sir
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