From the table below calculate the quantities asked for:
Find  $\left(f\cdot g\right)\left(1\right)$  

 $f\left(x\right)=x^2+1$  and  $g\left(x\right)=x+1$  Which of the following best represents  $f\left(g\left(x\right)\right)$  ?

For the function f(x) and g(x) given in the graph, Find the corresponding function value.

 $f\left(g\left(3\right)\right)$  

Let f be the linear function (in blue) and let g be the parabolic function (in red).

Find  $g\left(f\left(2\right)\right)$  

Let f be the linear function (in blue) and let g be the parabolic function (in red).

Find  $\frac{f}{g}\left(2\right)$  

From the table below calculate the quantity asked for:

Find  $g\left(f\left(-2\right)\right)$  

Use the given functions to evaluate the expression.

Find  $f\left(g\left(3\right)\right)$  

Use the given functions to evaluate the expression.

Find  $g\left(f\left(4\right)\right)$  

The domains of (f+g)(x), (f−g)(x) and (f⋅g)(x) are all the same.

If x is in the domain of  $\left(f+g\right)\left(x\right)$  , then x must be in the domain of  $\frac{f}{g}\left(x\right)$ .

Let f = {(2,-3), (3,-4), (4,-5), (1,0)} and g = {(-1,1}, {0,3), (3,0), (4,-2)}.

The value 3 must be in the domain of  $\frac{f}{g}\left(x\right)$ .

 $f\left(x\right)=x^2$ 


 $f\left(x+y\right)=x^2+2xy+y^2$