Question
If f(x)=xx+1, determine the value of g(2) if, g(x)=f[1x+1]−1f(x+1).
Answer: Option C
:
C
Method :1 ConventionalApproach
f[1x+1]=[1x+1][{1x+1}+1]=1x+2
1f(x+1)=1[x+1x+2]=x+2x+1
g(x)=f[1x+1]−1f(x+1)=[1x+2]−[x+2x+1]
g(2)=(14)−(43)=−1312
Hence option (c)
SHORTCUT : Direct Substitution
When x=2
G(2)=f(13)−1f(3)=(14)−43=−1312.
Was this answer helpful ?
:
C
Method :1 ConventionalApproach
f[1x+1]=[1x+1][{1x+1}+1]=1x+2
1f(x+1)=1[x+1x+2]=x+2x+1
g(x)=f[1x+1]−1f(x+1)=[1x+2]−[x+2x+1]
g(2)=(14)−(43)=−1312
Hence option (c)
SHORTCUT : Direct Substitution
When x=2
G(2)=f(13)−1f(3)=(14)−43=−1312.
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution