If $$f(x)=4x+1$$ and $$g(x)=4x-3$$  

Find $$f(x)*g(x)$$  

If $$f(x)=3x^2+7x$$  and $$g(x)=2x^2-x-1$$ ,

find $$(f+g)(x)$$ .

If $$f(x)=x^2+5$$  and $$g(x)=2x^3-1$$  ,

find $$\left(\frac{f}{g}\right)\left(-3\right)$$ .

If $$f(x)=3x^2+4$$   and $$g(x)=-2x+2$$  ,

find $$(g+f)(-3)$$ .

If $$g(x)=2x+2$$  and $$f(x)=x-1$$  

Find $$(gf)(x)$$ .

If $$f(x)=x^2-25$$ and $$g(x)=x-5$$ ,

find the quotient $$\left(\frac{f}{g}\right)(0)$$ , if it exists.

If $$f(x)=x^2+9$$  and $$g(x)=x-9$$ ,

Find $$f(x)-g(x)$$ . 

Evaluate f(-2) if $$f(x)=x+3$$ .

Find (f - g)(x)

Find (f + g) (x)

If $$f\left(x\right)=x^3-4x$$  and $$g\left(x\right)=2x-5$$  ,

find the domain restriction on $$\left(\frac{f}{g}\right)\left(x\right)$$  .

Challenge! If $$f\left(x\right)=x^3-4x$$  and $$g\left(x\right)=2x-5$$  ,

find the domain restriction on $$\left(\frac{g}{f}\right)\left(x\right)$$  .

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

find the domain restriction on $$\left(\frac{f}{g}\right)\left(x\right)$$  .

The function $$R\left(x\right)=4x^2+2x$$   represents the total revenue in millions of dollars that TikTok’s parent company makes where x is the number of years after the app’s creation in 2016. The cost in millions to run the company is represented by $$C\left(x\right)=10x+25$$ . Find $$\left(R-C\right)\left(x\right)$$  and explain what it represents in the context of the problem.