If fx- x2- x- 0 x -x-0 then

Name: JEE- Grade 12- Mathematics- Relations and Functions- Session 08- W14
Uploaded: 2022-07-04T10:36:42+05:30
Description: F(f(x))= (f(x))^2, f(x)≥ 0 f(x), f(x) lt;0 = x^4, x≥ 0 x ,x lt;0 nbsp; ...

F(f(x))= (f(x))^2, f(x)≥ 0 f(x), f(x) lt;0 = x^4, x≥ 0 x ,x lt;0 nbsp; ...

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Byju's Answer

Standard XII

Mathematics

Odd Function

If fx= x2, x≥...

Question

If $f (x) = {\begin{matrix} x^{2}, x \geq 0 x, x < 0 \end{matrix}$ then

f (f (x)) =

{\begin{matrix} x^{2}, x \geq 0 x, x < 0 \end{matrix}

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f (f (x)) =

{\begin{matrix} x^{4}, x \geq 0 x^{2}, x < 0 \end{matrix}

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f (f (x)) =

{\begin{matrix} x^{4}, x \geq 0 - x^{2}, x < 0 \end{matrix}

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f (f (x)) =

{\begin{matrix} x^{4}, x \geq 0 x, x < 0 \end{matrix}

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Solution

The correct option is D $f (f (x)) =$ ${\begin{matrix} x^{4}, x \geq 0 x, x < 0 \end{matrix}$ $
$f (f (x)) = {\begin{matrix} (f (x))^{2}, f (x) \geq 0 f (x), f (x) < 0 \end{matrix}$

$= {\begin{matrix} x^{4}, x \geq 0 x, x < 0 \end{matrix}$

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Odd Function

Standard XII Mathematics

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If f(x)={x2, x≥0x ,x<0 then

The correct option is D f(f(x))={x4, x≥0x ,x<0$ f(f(x))={(f(x))2, f(x)≥0f(x), f(x)<0 ={x4, x≥0x ,x<0

If $f (x) = {\begin{matrix} x^{2}, x \geq 0 x, x < 0 \end{matrix}$ then

The correct option is D $f (f (x)) =$ ${\begin{matrix} x^{4}, x \geq 0 x, x < 0 \end{matrix}$ $
$f (f (x)) = {\begin{matrix} (f (x))^{2}, f (x) \geq 0 f (x), f (x) < 0 \end{matrix}$

$= {\begin{matrix} x^{4}, x \geq 0 x, x < 0 \end{matrix}$