A) \[{{(x+1)}^{4}}-1\]
B) \[{{x}^{4}}-1\]
C) \[{{x}^{4}}\]
D) \[{{(x+1)}^{4}}\]
E) \[{{(x-1)}^{4}}-1\]
Correct Answer: C
Solution :
Given, \[f(x)={{x}^{2}}-1,g(x)={{(x+1)}^{2}}\] Now, \[(gof)(x)=g(f(x))\] \[=g({{x}^{2}}-1)\] \[={{({{x}^{2}}-1+1)}^{2}}\] \[={{x}^{4}}\]
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