Question

Dana jest funkcja określona wzorem :

a) f(x)=2x+1 Oblicz: f(0) , f(-1/2) , f(3/2)

b) g(x)= x^{2} -3 / x-1 Oblicz g(-1) , g(3) . g(1/2)

Answer 1

a)

f(x) = 2x +1

 

f(0) = 2 * 0 +1 = 1

f(-1/2) = 2 *(-1/2) +1 = -1+1 = 0

f(3/2) = 2 *3/2 +1 = 3+1 = 4

 

b)

g(x) = (x^2 -1)/(x-1)

 

g(-1) = [(-1)^2 -1]/(-1-1) = (1-1)/(-2) = 0

g(3) = (3^2 -1)/(3-1) = (9-1)/2 = 4

g(1/2) = [(1/2)^2 -1]/(1/2 -1) = (1/4 -1)/(1/2 -1) = -3/4 *(-2) = 1,5

Answer 2

a)

b)