If f is the identity function and g is the absolute value function then find the following instructions
1) f+g
2) f-g
3) fg
4) f?g

For x $\ge$ 0
f(x) = x and g(x) = |x| = x

1) (f+g)(x) = f(x) + g(x) = x + x = 2x
2) (f-g)(x) = f(x) - g(x) = x - x = 0
3) (fg)(x) = f(x) g(x) = x$\times$x = x^{​​​​​​2}​​​​​
4) ($\frac{f}{g}$)(x) = $\frac{f\left(x\right)}{g\left(x\right)} = \frac{x}{x} = 1$
for x<0
f(x) = x and g(x) =|x| = -x

1) (f+g)(x) = f(x) + g(x) = x-x = 0
2) (f-g)(x) = f(x) - g(x) = x-(-x) = 2x
3) (fg)(x) = f(x) g(x) = -x^{​​​​​2}​​​​
4) $\left(\frac{f}{g}\right) \left(x\right) = \frac{f\left(x\right)}{g\left(x\right)} = \frac{x}{-x} = -1$

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