展开 (f\circ g)((x^2+4)/x+x^2)

解答

展开

(f \circ g) (\frac{x ^{2} + 4}{x} + x^{2})

\circ f gx + \frac{4 \circ f g}{x} + \circ f g x^{2}

求解步骤

(f \circ g) (\frac{x ^{2} + 4}{x} + x^{2})

= (\circ f g) (\frac{x ^{2} + 4}{x} + x^{2})

使用分配律:

a (b + c) = ab + a c

a = (f \circ g), b = \frac{x ^{2} + 4}{x}, c = x^{2}

= (f \circ g) \frac{x ^{2} + 4}{x} + (f \circ g) x^{2}

= \frac{x ^{2} + 4}{x} (\circ f g) + x^{2} (\circ f g)

化简

\frac{x ^{2} + 4}{x} (\circ f g) + x^{2} (\circ f g) : \circ f gx + \frac{4 \circ f g}{x} + \circ f g x^{2}

= \circ f gx + \frac{4 \circ f g}{x} + \circ f g x^{2}

e x p an d \frac{( e ^{x} )}{( 1 + x ) ( 2 - x )}

e x p an d \frac{8 s ^{2} - 12 s + 48}{s ( s ^{2} + 16 )}

e x p an d s (p - 3 p - 50 eD (p) = 100 - 2 p)

e x p an d d \frac{10}{s ( s ^{2} + 6 s + 8 )}

e x p an d \frac{x ^{3} + 7 x + 12 s}{( x + 1 ) ^{3} ( x + 2 )}