Five marks exercise problems II — task. Mathematics State Board, Class 10.

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(i) If

$f(x) = x^2 - 1$ ,

$g(x) = x - 2$ find

$a$ , if

$g \circ f(a) = 1$ .

The value of

$a$

$=$

$\pm i$

(ii) Find

$k$ , if

$f(k) = 2k - 1$ and

$f \circ f(k) = 5$ .

The value of

$k$

$=$

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