What is the g(x)(f(x))f(x)=3-2x,g(x)=3x^2+2 ?

The g(x)(f(x))f(x)=3-2x,g(x)=3x^2+2 is 9\circ x^4f(x)^2+12\circ x^2f(x)^2+4\circ f(x)^2

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

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}

Solution steps

Find

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

given

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)

Expand

(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

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

y = 7 - 4 x + x^{2}

f (x) = x^{2} + 2 x, x = 1

g (f) = 32 f

What is the g(x)(f(x))f(x)=3-2x,g(x)=3x^2+2 ?
The g(x)(f(x))f(x)=3-2x,g(x)=3x^2+2 is 9\circ x^4f(x)^2+12\circ x^2f(x)^2+4\circ f(x)^2