AIR MATH

Math Question

Given the following: \( f(x)=3 x^{\frac{1}{2}}+7 x^{-\frac{1}{4}}+8 x^{-4} ; g(x)=-\frac{7}{4} x^{\frac{1}{2}}+12 x^{-\frac{1}{4}}-21 x^{3} ; \) and \( h(x)=8 x^{3}+12 x^{-\frac{1}{2}}+6 x^{\frac{1}{4}}-14 x^{-4} \) Complete the following: \( g(x)+h(x) \)
\( -13 x^{3}+\frac{7}{4} x^{\frac{1}{2}}+6 x^{\frac{1}{4}}+12 x^{-\frac{1}{4}}+12 x^{-\frac{1}{2}}+14 x^{-4} \)
\( -13 x^{3}-\frac{7}{4} x^{\frac{1}{2}}-6 x^{\frac{1}{4}}+12 x^{-\frac{1}{1}}+12 x^{-\frac{1}{2}}-14 x^{-4} \)
\( 13 x^{3}-\frac{7}{4} x^{\frac{1}{2}}+6 x^{\frac{1}{1}}+12 x^{-\frac{1}{1}}+12 x^{-\frac{1}{2}}-14 x^{-4} \)
\( -13 x^{3}-\frac{7}{4} x^{\frac{1}{2}}+6 x^{\frac{1}{4}}+12 x^{-\frac{1}{1}}+12 x^{-\frac{1}{2}}-14 x^{-4} \)
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