Problem

Given the functions f(x)=3x7 and g(x)=2x2+1, find the value of f(g(2)).

Answer

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Answer

Next, we substitute g(2) into the equation for f(x): f(g(2))=f(9)=3(9)7=277.

Steps

Step 1 :First, we need to find the value of g(2). To find this, we substitute x=2 into the equation for g(x): g(2)=2(2)2+1=2(4)+1=8+1=9.

Step 2 :Next, we substitute g(2) into the equation for f(x): f(g(2))=f(9)=3(9)7=277.

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