化简 f(1/3 x-6)\circ g(3x+6)

解答

化简

f (\frac{1}{3} x - 6) \circ g (3 x + 6)

\circ f x^{2} g - 16 \circ f xg - 36 \circ f g

求解步骤

f (\frac{1}{3} x - 6) \circ g (3 x + 6)

\frac{1}{3} x = \frac{x}{3}

= \circ f g (\frac{x}{3} - 6) (3 x + 6)

= \circ f g (\frac{x}{3} - 6) (3 x + 6)

乘开

(\frac{x}{3} - 6) (3 x + 6) : x^{2} - 16 x - 36

= f \circ g (x^{2} - 16 x - 36)

乘开

f \circ g (x^{2} - 16 x - 36) : \circ f x^{2} g - 16 \circ f xg - 36 \circ f g

= \circ f x^{2} g - 16 \circ f xg - 36 \circ f g

e x p an d (x - \frac{1}{14}) (x^{2} - \frac{15}{14} x + \frac{1}{14})

s im pl i f y (2 x + 4 - 6)^{2}

s im pl i f y (i - 1)^{7}

e x p an d (y x^{- 3} = \frac{x ^{4}}{2} + c) (2 x^{3})

e x p an d l im x \Rightarrow 2 (x^{2} + 3 x - 4)