A) \[f(a)-g(c)\]
B) \[f(c)+g(a)\]
C) \[f(d)+g(b)\]
D) \[f(b)-g(b)\]
E) \[f(d)-g(b)\]
Correct Answer: E
Solution :
Given, \[f(x)=ax+b\]and\[g(x)=cx+d\] Now, \[f[g(x)]-g[f(x)]\] \[=f(cx+d)-g(ax+b)\] \[=a(cx+d)+b-[c(ax+b)+d]\] \[=acx+ad+b-acx-bc-d\] \[=ad+b-(bc+d)\] \[=f(d)-g(b)\]You need to login to perform this action.
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