Question

Let f(x)=1 over x+2 ,find f(0),f(2) and f(3)​

Answer 1

Answer:

Given:-f(0)=2,f(1)=3

f(x+2)=2f(0)−f(x+1)

Put,x=0

f(2)=2f(0)−f(1)

f(2)=4−3=1

f(2)=2f(0)−f(2+1)

f(3)=2f(0)−f(2)

f(3)=4−1

f(3)=3

Put,x=2

f(4)=2f(2)−3

f(4)=1

Put,x=3

f(5)=2f(3)−f(3+1)

f(5)=4−1=3

Answer 2

here f(x)=x+2

f(0)=0+2=2

f(2)=2+2=4

f(3)=3+2=5