展开 (f\circ g)(3x+5)(3x^2+7)

解答

展开

(f \circ g) (3 x + 5) (3 x^{2} + 7)

9 \circ f g x^{3} + 15 \circ f g x^{2} + 21 \circ f gx + 35 \circ f g

求解步骤

(f \circ g) (3 x + 5) (3 x^{2} + 7)

= (\circ f g) (3 x + 5) (3 x^{2} + 7)

乘开

(3 x + 5) (3 x^{2} + 7) : 9 x^{3} + 15 x^{2} + 21 x + 35

= (f \circ g) (9 x^{3} + 15 x^{2} + 21 x + 35)

乘开

(f \circ g) (9 x^{3} + 15 x^{2} + 21 x + 35) : 9 \circ f g x^{3} + 15 \circ f g x^{2} + 21 \circ f gx + 35 \circ f g

= 9 \circ f g x^{3} + 15 \circ f g x^{2} + 21 \circ f gx + 35 \circ f g

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

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s im pl i f y \frac{1}{2} (x + \frac{1}{4} sin (4 x))