What is expand (f\circ g)(x^2+1) ?

The solution to expand (f\circ g)(x^2+1) is \circ fgx^2+\circ fg

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expand (f\circ g)(x^2+1)

expand

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

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

Solution steps

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

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

Apply the distributive law:

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)

Simplify

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

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What is expand (f\circ g)(x^2+1) ?
The solution to expand (f\circ g)(x^2+1) is \circ fgx^2+\circ fg