+0  
 
+1
414
1
avatar+193 

Let

\[f(x) = \left\{
\begin{array}{cl}
-x + 3 & \text{if } x \le 0, \\
2x - 5 & \text{if } x > 0.
\end{array}
\right.\]

How many solutions does the equation $f(f(x)) = 4$ have?

 Feb 5, 2021
 #1
avatar+14865 
+1

Domain and Range

Let

\(f(x) = \left\{ \begin{array}{cl} -x + 3 & \text{if } x \le 0, \\ 2x - 5 & \text{if } x > 0. \end{array} \right. \)

 

Hallo clairepow!

 

\(f(x)=-x+3\\ Domain =\mathbb R|-∞< x \leq 0\\ Range=\mathbb R|3 \le y<∞\)

 

\(f(x)=2x+5\\ Domain =\mathbb R|0< x <∞\\ Range=\mathbb R|-5< y<∞\)

 

laugh  !

 Feb 5, 2021
edited by asinus  Feb 5, 2021
edited by asinus  Feb 5, 2021

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