If $f (x) = 3 x^{2} - 2 x - 5$ , find the value of f(f(-1)).

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Solution

The correct option is C -5
Given: $f (x) = 3 x^{2} - 2 x - 5$

At x = -1
$f (- 1) = 3 (- 1)^{2} - 2 (- 1) - 5$
$f (- 1) = 3 + 2 - 5$
$f (- 1) = 0$

$f (f (- 1)) = f (0) = 3 (0)^{2} - 2 (0) - 5$
$f (f (- 1)) = - 5$

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