- #1

rxh140630

- 60

- 11

- Homework Statement
- Let f and g be two functions defined as follows:

[itex] f(x) = \frac{x+|x|}{2}[/itex]

[itex] g(x) = \begin{cases}

x \text{ for x < 0} \\

x^2 \text{ for x ≥ 0}

\end{cases} [/itex]

Find a formula, or formulas, for computing the composite function h(x) = f[g(x)]

- Relevant Equations
- f ο g = f[g(x)]

h(x) = 0 for x ≤ 0

h(x) = x^2 for x>0

But my book says

h(x) = 0 for x<0

h(x) = x^2 for x≥0

Can my solution (the first one) work as well? Because the actual function value at x = 0 is zero. I feel like my solution is more elegant.

h(x) = x^2 for x>0

But my book says

h(x) = 0 for x<0

h(x) = x^2 for x≥0

Can my solution (the first one) work as well? Because the actual function value at x = 0 is zero. I feel like my solution is more elegant.