Graph

Algebra Level 4

Graph Of f(x)

The above shows a graph of $Y = f(x)$ . Find the number of solution(s) of $x$ satisfying $f(f(x)) = 2$ .

The answer is 3.

1 solution

Rishabh Deep Singh
Aug 16, 2016

$f\left( f\left( x \right) \right) =2\quad ---------(1)\\ Replace\quad x\quad by\quad f\left( x \right) \\ f\left( f\left( f\left( x \right) \right) \right) =2\\ =>\quad f\left( x \right) =2\quad \quad \quad \quad \quad \quad \quad (From\quad (1)\quad )\\ Now\quad there\quad are\quad 3\quad Points\quad on\quad the\quad Curve\quad such\quad that\quad f\left( x \right) =2\\ Hence\quad Answer\quad is\quad 3.$

Graph

The answer is 3.

1 solution

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