A) \[(fog)(-3)=8\]
B) \[(fog)(9)=683\]
C) \[(gof)(0)=-8\]
D) \[(gof)(6)=427\]
Correct Answer: B
Solution :
[b] we have \[g(-3)=0\] \[\Rightarrow f(g(-3))=f(0)=7{{(0)}^{2}}+0-8=-8\] \[\therefore fog(-3)=-8\] \[g(9)={{9}^{2}}+4=85\] \[\Rightarrow f(g(9))=f(85)=8.85+3=683\] \[\therefore fog(9)=683\] \[f(0)={{7.0}^{2}}+0-8=-8\] \[\Rightarrow g(f(0))=g(-8)=\left| -8 \right|=8\] \[f(6)=4.6+5=29\] \[\Rightarrow g(f(6))=g(29)={{(29)}^{2}}+4=845\] \[\therefore gof(6)=845\]You need to login to perform this action.
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