Performing Operations on Functions

If $$f\left(x\right)\ =\ x-1$$ and $$g\left(x\right)=5x-2$$ , then  $$\left(f+g\right)\left(x\right)=$$

If $$f\left(x\right)\ =\ x-1$$ and $$g\left(x\right)=5x-2$$ , then  $$\left(f\cdot g\right)\left(x\right)=$$

If $$f\left(x\right)\ =\ x-1$$ and $$g\left(x\right)=5x-2$$ , then  $$\left(\frac{f}{g}\right)\left(x\right)$$

If $$f\left(x\right)\ =\ x-1$$ and $$g\left(x\right)=5x-2$$ , then  $$\left(f-g\right)\left(x\right)=$$

If $$f\left(x\right)\ =\ 3x^2-4$$ and $$g\left(x\right)=x^2-8x+4$$ , then  $$\left(f+g\right)\left(x\right)=$$

If $$f\left(x\right)=x+1$$   and $$h\left(x\right)=2x^2$$  . What is $$\left(f\ \circ\ h\right)\left(5\right)$$  ?

(a)  

If $$a\left(x\right)=x+2$$   and $$b\left(x\right)=5x-3$$  , find $$\left(a\cdot b\right)\left(x\right)$$  

Find  $$\left(\frac{a}{b}\right)\left(-2\right)$$   if  $$a\left(x\right)=\frac{3}{x-7}$$   and  $$b\left(x\right)=\frac{x+5}{2x-14}$$  

(a)  

If $$m\left(x\right)=x+2$$  and $$n\left(x\right)=\sqrt[]{x+5}$$  . What is $$\left(n\ \circ\ m\right)\left(5\right)$$  ?

Given $$f\left(x\right)=x^2+5x+6$$   and $$h\left(x\right)=x+2$$  . Find $$\left(h\ \circ\ f\right)\left(x\right)$$  .