Precalclus Section 1.5 Part 2

$$f\left(x\right)\ =\ \sqrt[]{x-4}$$ and $$g\left(x\right)\ =\ x^2+4$$   

Find : $$f\left(x\right)\ +\ g\left(x\right)$$  

$$f\left(x\right)\ =\ \sqrt[]{x-4}$$ and $$g\left(x\right)\ =\ x^2+4$$   

Find : $$f\left(x\right)\ -\ g\left(x\right)$$  

$$f\left(x\right)\ =\ \sqrt[]{x-4}$$ and $$g\left(x\right)\ =\ x^2+4$$   

Find : $$f\left(x\right)\ \div\ g\left(x\right)$$  

$$f\left(x\right)\ =\ \sqrt[]{x-4}$$ and $$g\left(x\right)\ =\ x^2+4$$   

Find : $$\left(f\ \circ\ g\right)\left(x\right)\$$  

$$f\left(x\right)\ =\ \sqrt[]{x-4}$$ and $$g\left(x\right)\ =\ x^2+4$$   

Find : $$\left(g\ \circ\ f\right)\left(x\right)\$$  

If $$g(x)=3x+4$$ and $$h(x)=3x-1$$

$$find\ \ \ g(h(x))=?$$

If $$p(x)=4x-5$$ and $$q(x)=2x^2$$

$$Find\ \ p(q(x))$$

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

If $$f\left(x\right)=x^2+6$$   and $$g\left(x\right)=2x-4$$  , find $$f\left(g\left(x\right)\right)$$  

f(x) = 2x - 5

g(x) = -4x - 2

Find f(g(-2))

Using the $$N(T(t))\ =\ 320t^2+420$$  

Find N(2) = ?