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Maths-

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Question

If $f open parentheses x close parentheses equals x to the power of 2 end exponent plus 4 x plus 1 comma blank t h e n$

$f (x) = f (- x),$ for all $x$
$f (x) \neq 1,$ for all $x$ =0
$f^{}$ 'x>0,'/>for all $x$
$f (x) > 1,$ for $x \leq 4$

The correct answer is: $f to the power of ´ ´ end exponent open parentheses x close parentheses greater than 0 comma$ for all $x$

Given, $f open parentheses x close parentheses equals x to the power of 2 end exponent plus 4 x plus 1$
$rightwards double arrow blank f to the power of ´ end exponent open parentheses x close parentheses equals 2 x plus 4$

For maxima or minima, put $f to the power of ´ end exponent open parentheses x close parentheses equals 0$

$rightwards double arrow blank 2 x plus 4 equals 0$

$rightwards double arrow blank x equals negative 2$

Now, $f to the power of ´ ´ end exponent open parentheses x close parentheses equals 2 greater than 0$

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