Did you know?
Did you know that the expression (r*s)(x) represents the multiplication of two functions, r and s? In this case, r(x)=x-5 and s(x)=4x^2. To find (r*s)(x), you need to multiply the values of r(x) and s(x), resulting in (r*s)(x) = (x-5)*(4x^2).
Similarly, (r-s)(x) represents the subtraction of two functions, r and s. By subtracting the values of r(x) and s(x), you get (r-s)(x) = (x-5) - (4x^2).
Lastly, the expression (r=s)(4) represents evaluating whether r and s are equal at x=4. To do this, you substitute x=4 into both r(x) and s(x). Therefore, to evaluate (r=s)(4), you need to check if r(4) is equal to s(4), which means comparing (4-5) with 4*(4^2).
These expressions and evaluations help understand the relationships and calculations involved with these functions and their combinations.
