Question

please give me answers​

Answer 1

Answer:

f:R1→(4,∞)

f(x)=x2+4

f(x1)=f(x2)

 x12+4=x22+4

x1=x2  f(x) is on-one.

f(x)=x2+4

y=x2+4

x2=y−4

x=y−4

 f(x)=x2+4

f(x)=(y−4)2+4

f(x)=y−4+4

f(x)=y

f(x) is onto function.

So,f(x) is bijective, Hence it is invertible

f(x)=x2+4

y=x2+4

y=

Answer 2

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Step-by-step explanation:

Let the number of notes of different denomination be x.

∴ Numbers of Rs100 notes, 50 notes and Rs10 notes will be 2x,3x and 5x respectively.

Amount of 100 Rs notes ⇒Rs100×2x=200x

Amount of 50 Rs notes ⇒Rs50×3x=150x

Amount of 10 Rs notes ⇒Rs10×5x=50x

As per the question

Total amount =400000

200x+150x+50x=400000

400x=400000,x=1000

No of Rs 100 notes =2x=2×1000=2000

No of Rs 50 notes =3x=3×1000=3000

No of Rs 10 notes =5x=5×1000=5000