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If $f(x)=x+\sqrt{2-x}$ and $g(u)=u+\sqrt{2-u},$ is it true that $f=g ?$

If $ f(x) = \frac{x^2-x}{x-1} $ and $ g(x) = x $ is it true that $ f = g $?

The graph of a function $f$ is given.(a) State the value of $f(1)$(b) Estimate the value of $f(-1)$(c) For what values of $x$ is $f(x)=1 ?$(d) Estimate the value of $x$ such that $f(x)=0$(e) State the domain and range of $f$.(f) On what interval is $f$ increasing?

Sketch the graph of the function.

$ h(t) = | t | + | t + 1 | $

$ f(x) = \left\{ \begin{array}{ll} \mid x \mid & \mbox{ if $ | x | \le 1 $}\\ 1 & \mbox{ if $ | x | > 1 $} \end{array} \right.$

How much work is done when a hoist lifts a 200-kg rock to a height of 3 m?