A) Write an expression for the slope of the secant line through the points
P(7, f(7))
and
Q(x, f(x)).

Step-by-step explanation:a/

slope m = [f(x)-f(3)]/(x-3)

b/

tangent y - f(3) = [lim m ,as x-->3](x-3)

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3