Chapter 1: as (page 7)
Step 1:Use the formula for string factorial
Total number of arrangements of n objects if al are different
Ifof them are same number of ways are given by
\(C\left( {n + r - 1,r} \right) = \frac{{(n + r - 1)!}}{{n!r!}}\)
TheIs string length
are outcome of strings
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If \(g\left( x \right) = \frac{x}{{\sqrt {x + 1} }}\), find \(g\left( 0 \right)\), \(g\left( 3 \right)\), \(5g\left( a \right)\), \(\frac{1}{2}g\left( {4a} \right)\), \(g\left( {{a^2}} \right)\), \({\left( {g\left( a \right)} \right)^2}\), \(g\left( {a + h} \right)\), \(g\left( {x - a} \right)\).
Three runner compete in a 100-meter race. The graph depicts the distance run as a function of time for each runner. Describe in words what the graph tells you about this race. Who won the race? Did each runner finish the race?
Sketch the graph of the function
\(f\left( x \right) = \frac{{\left| x \right|}}{x}\)
If f and g are both even functions, is fg even? If f and g are both odd functions, is fg odd? What if f is even and g is odd? Justify your answers.
Find the domain of the function.
6. \(g\left( x \right) = \frac{{\bf{1}}}{{1 - tanx}}\)
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