Math  /  Algebra

Question=1=1 =2=2 3\equiv 3 4\equiv 4 =5=5 6 Español 7
Suppose that the functions ss and tt are defined for all real numbers xx as follo s(x)=3x2t(x)=x4\begin{array}{l} s(x)=3 x^{2} \\ t(x)=x-4 \end{array}
Write the expressions for (st)(x)(s \cdot t)(x) and (s+t)(x)(s+t)(x) and evaluate (st)(3)(s-t)(-3). (st)(x)=(s+t)(x)=(st)(3)=\begin{array}{r} (s \cdot t)(x)=\square \\ (s+t)(x)=\square \\ (s-t)(-3)=\square \end{array}

Studdy Solution
(st)(x)=3x312x2(s \cdot t)(x) = 3x^3 - 12x^2 (s+t)(x)=3x2+x4(s+t)(x) = 3x^2 + x - 4 (st)(3)=34(s-t)(-3) = 34

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