展开 (f\circ g)(x^2+1)

解答

展开

(f \circ g) (x^{2} + 1)

\circ f g x^{2} + \circ f g

求解步骤

(f \circ g) (x^{2} + 1)

= (\circ f g) (x^{2} + 1)

使用分配律:

a (b + c) = ab + a c

a = (f \circ g), b = x^{2}, c = 1

= (f \circ g) x^{2} + (f \circ g) \cdot 1

= x^{2} (\circ f g) + 1 \cdot (\circ f g)

化简

x^{2} (\circ f g) + 1 \cdot (\circ f g) : \circ f g x^{2} + \circ f g

= \circ f g x^{2} + \circ f g

e x p an d (2 sin (x) - 2 cos (x))^{2}

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

e x p an d (x^{2} + 5 x + 6) (\frac{1}{2} sin (2 x))

e x p an d \frac{4 s}{( s - 1 ) ( s + 1 ) ^{2}}

e x p an d \frac{7 + 2 s + 6 e ^{- 4 s}}{( s + 2 ) ( s + 6 )}