Question

f(x)=5x-2 calcule f(a+b)-f(a)/b

Answer 1

f(x) = ax + b

f(x) = 5x - 2 ⇒ a = 5, b = - 2

f(a + b) - f(a)/b

f(5 + (- 2)) - f(5)/(- 2)

f(5 - 2) + f(5)/2

f(3) + f(5)/2

→ f(3) = 5(3) - 2 = 15 - 2 = 13

→ f(5) = 5(5) - 2 = 25 - 2 = 23

f(3) + f(5)/2

13 + 23/2

49/2