Nilai fungsi dari :

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Nilai fungsi dari : ​

f(x)=x^2+2\\g(x)=\frac{2}{x+3}

a)

3f(2)=3\times(2^2+2)=3\times 6=18

g(2)=\frac{2}{2+3}=\frac{2}{5}

b)

(\frac{f}{g})(x)=\frac{f(x)}{g(x)}=\frac{x^2+2}{\frac{2}{x+3}}=\frac{x^3+3x^2+2x+6}{2}\\\\(\frac{f}{g})(3) = \frac{3^3+3\times3^2+2\times3+6}{2}=\frac{27+27+6+6}{2}=33

c)

(f\times g)(x)=f(x)\times g(x)=(x^2+2)\times(\frac{2}{x+3})=\frac{2x^2+4}{x+3}\\\\(f\times g)(x+1)=\frac{2(x+1)^2+4}{(x+1)+3}=\frac{2(x^2+2x+1)+4}{x+4}=\frac{2x^2+4x+6}{x+4}


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