Two marks exercise problems I — task. Mathematics State Board, Class 10.

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Answer variants:

$x^2 - 12x + 36$

$x^2 - 6$

$\frac{3 - x}{3} - 1$

$\frac{8}{x^2} - 1$

$4x^2$

$\frac{9 - x}{3}$

$x - 1$

$\frac{2}{2x^2 - 1}$

$4x^2 + 8x + 3$

Using the functions

$f$ and

$g$ given below, find

$f \circ g$ and

$g \circ f$ . Check whether

$f \circ g = g \circ f$ .

(i)

$f(x) = x - 6$ ,

$g(x) = x^2$

$f \circ g$

$=$

$g \circ f$

$=$

So,

(ii)

$f(x) = \frac{2}{x}$ ,

$g(x) = 2x^2 - 1$

$f \circ g$

$=$

$g \circ f$

$=$

So, .

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