Suppose that the functions s and f are defined for all real

Suppose that the functions s and f are defined for all real numbers x as follows. 3x s(x)= t(x)=2x write the expressions for ( )) and (+)/e) and evaluate Gr-) Write the expressions for (s C) and (s+)() and evaluate (st)(-1)

Solution

s(x)=3x²,t(x)=2x

(s-t)(x)=s(x) - t(x)

(s-t)(x)=3x²-2x

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(s+t)(x)=s(x) + t(x)

(s+t)(x)=3x²+2x

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(s*t)(x)=s(x) * t(x)

(s*t)(x)=3x²*2x

(s*t)(x)=6x³

(s*t)(-1)=6(-1)³

(s*t)(-1)=-6