Question

Dada a função do 2º grau f(x) = 2x² -3x + 4 , determine 2.f(2) – 4.f(0) + f(1)

a) -1

b) 1

c) -2

d) -3

e) 3​

Answer 1

letra a)

.

.

f(x) = 2x² -3x +4

.

.

f(2) = 2×2² -3×2 +4

f(2) = 2×4 -6 +4

f(2) = 8 - 2

f(2) = 6

.

.

f(0) = 2×0² -3×0 +4

f(0) = 0 - 0 + 4

f(0) = 4

.

.

f(1) = 2×1² -3×1 +4

f(1) = 2 -3 + 4

f(1) = -1 +4

f(1) = 3

.

.

2× f(2)-4×f(0)+f(1)

2× 6 -4 × 4 + 3

12 - 16 + 3

-4 + 3

-1