Question

For f(x)=3x+1 and g(x)=x^2-6, find (f o g)(x)

Answer 1

The answer is:  " 3x² − 17 " .
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f(x) = 3x + 1 ;
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If g(x) = x² − 6 ;

then:   (f o g)(x)  = f(x² − 6) = 3x + 1 ;

=  3(x² − 6) + 1  =  3x² − 18 + 1 ;

=  3x² − 17  .
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