Composite Function Operations

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

Which expression represents g(f(x)) if          f(x) = 2x - 8
and
g(x) = 4x

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

Given f(x) = 2x and g(x) = x²+3 , find f(g(x)).

f(x) = 3x + 10
g(x) = x - 2

Find (f∘g)(0)

(a)  

g(x)=3x+4

h(x)=3x-1

Find (g∘h)(x)

(a)  

Use the table of values for the functions  to find the value of the composite functions at the indicated value. If it is not possible, explain why.

$$\left(f\circ h\circ f\right)\left(3\right)$$  

Fill in the 4 empty boxes with correct expressions. For the yellow & blue box, write in what the composition equals. For the purple and red boxes, write a composition that will equal the given value.

What is the domain of (f+g)(x)

Use the graphs for the functions $$f\ and\ g$$  to find the value of the composite functions at the indicated value. If it is not possible, explain why. $$\left(f\circ g\circ f\right)\left(-3\right)$$  

(a)