Functions Linear Equations Piece-wise Functions Transformations Composition of Functions

Question

(1 point) Let g(x)=3+5x−7x2. Then the expressiong(x+h)−g(x)h

can be written in the form Ah+Bx+C, where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.)

(A) Find the constants.

A= 

B= 

C= 

Answer 1

g(x) = 3 +5x -7x^2

g(x+h) = 3 + 5(x+h) - 7(x+h)^2 = 3 +5x +5h - 7(x^2 +2xh +h^2)

= 3+5x +5h - 7x^2 -14xh -7h^2

g(x+h) - g(x) = 5h -14xh -7h^2

[g(x+h) - g(x)]/h = 5 -14x -7h

A =-7

B= -14

C = 5