Composition of Functions

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

If  $f\left(x\right)=\frac{1}{x}$   and  $g\left(x\right)=3x+2$   find  $\left(g\circ f\right)\left(x\right)$  

If  $f\left(x\right)=x^2$   and  $g\left(x\right)=\sqrt{x}$   find  $f\left(f\left(x\right)\right)$  

If  $f\left(x\right)=2x$   and  $g\left(x\right)=2x^2-1$   find  $g\left(f\left(x\right)\right)$  

If  $f\left(x\right)=2x$   and  $g\left(x\right)=2x^2-1$   find  $f\left(g\left(3\right)\right)$  

Determine which two functions are composed so that  $f\left(g\left(x\right)\right)=h\left(x\right)$ , where  $h\left(x\right)=\left(x-3\right)^2-5.$ 

Given f and g in the graph,

what is f(g(2)) ?

Given f and g in the graph,
what is  $\left(f\circ g\right)\left(-1\right)?$