hey guys, im new here, i need some help on a take home test (go figure)...
the questions are easy, but our teacher never helped us with them and doesnt explain very well, please help me with these questions:
hey guys, im new here, i need some help on a take home test (go figure)...
the questions are easy, but our teacher never helped us with them and doesnt explain very well, please help me with these questions:
Domain of the function $\displaystyle f(x) = \sqrt x $ is $\displaystyle x\ge0$
Substitute x for -2:
$\displaystyle \begin{array}{l}
f(x) = x^2 - 2x + 3 \\
f( - 2) = ( - 2)^2 - 2 \cdot ( - 2) + 3 \\
f( - 2) = 4 + 4 + 3 \\
f( - 2) = 11 \\
\end{array}
$
First you find g(2):
$\displaystyle \begin{array}{l}
g(2) = 2^2 - 1 \\
g(2) = 3 \\
\end{array}
$
Now find f(3):
$\displaystyle \begin{array}{l}
f(3) = 2 \cdot 3 + 1 \\
f(3) = 7 \\
\end{array}
$
So: $\displaystyle f(g(2)) = 7$
Set of five elements can have: 5+10+10+5+1=31 subsets and empty set as subset.
So total of 32 subsets.