Domain and Range

Question

+1

482

1

+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?

clairepow Feb 5, 2021

asinus · Answer 1 · 2021-02-05T07:30:05

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!

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

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

!