g(x)(f(x))f(x)=3-2x,g(x)=3x^2+2

Lösung

g (x) (f (x)) f (x) = 3 - 2 x, g (x) = 3 x^{2} + 2

9 \circ x^{4} f (x)^{2} + 12 \circ x^{2} f (x)^{2} + 4 \circ f (x)^{2}

Schritte zur Lösung

Finde

g (x) (f (x)) f (x) \circ g

gegeben

g (x) (f (x)) f (x) (x) = 3 - 2 x, g (x) = 3 x^{2} + 2

g (x) (f (x)) f (x) \circ g = g (x) (f (x)) f (x) \circ g (x)

g (x) = 3 x^{2} + 2

g (x) = 3 x^{2} + 2

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

Multipliziere aus

(3 x^{2} + 2) f (x) f (x) \circ (3 x^{2} + 2) : 9 \circ x^{4} f (x)^{2} + 12 \circ x^{2} f (x)^{2} + 4 \circ f (x)^{2}

= 9 \circ x^{4} f (x)^{2} + 12 \circ x^{2} f (x)^{2} + 4 \circ f (x)^{2}

f (c) = 85 c

d o main f (x) = \frac{( x ^{2} - 9 )}{( x - 3 )}

sy mm e t ry y = 7 - 4 x + x^{2}

a vg c han g er a t e f (x) = x^{2} + 2 x, x = 1

g (f) = 32 f