Question

Match the operations on the given functions:

𝑓⁡(𝑥) =𝑥 −2

𝑔⁡(𝑥) =2⁢𝑥 −7

Drag and drop application.
(𝑓+𝑔)⁡(𝑥)

(𝑓−𝑔)⁡(𝑥)

(𝑓⋅𝑔)⁡(𝑥)

(f/g)⁡(𝑥)

Answer 1

(f+g)(x) = (x−2)+(2x−7) = 3x−9

(f−g)(x) = (x−2)−(2x−7) = −x+5 = 5−x

(f·g)(x) = (x−2)(2x−7) = 2x^2−11x+14

(f/g)(x) = (x−2)/(2x−7), with x ≠ 7/2 (since g(x)=0 at x=7/2)