Could you clarify what is meant by (f/g)(-1/4)?
How would I go upon solving these:
1. For (f/g)(-1/4) when f(x)=X^2-2 and g(x)=4x+1
2.
For each function f, construct and simplify the difference quotient [f(x+h)-F(x)]/h.
F(x)=3-9x^3
thank you!
If f(x) = 2x and g(x) = 3x and h(x) = 4x
then f(g(x)) = 2( 3x ) and f(h(x)) = 2( 4x)
similarly g(f(x)) = 3( 2x ) and g(h(x)) = 3( 4x )
as well as f(x)g(x) = (2x)(3x)
Whatever is inside the parenthesis is what you place as x for the equation. If f(x) = 2x and they ask you to evaluate f(2) then its just simply 2(2). Similarly if g(x) = 3x and they ask you to solve g(5) its just 3(5). If its (f g)(3) thats the same as f(3)g(3) or 2(3) x 3(3) , similarly if its (f/g)(9) its the same as f(9)/f(9) or 2(9) / 3(9).
Hope this helps