Question

(gof) (x) =x²-5x+2,g(x)=5-x/3.f(3)=...​

Answer 1

Jawaban:

f(x) = -3x² + 15x - 1

f(3) = 17

Answer 2

(g○f)(x) = x^2 - 5x + 2

g(x) = (5 - x)/3

(g○f)(x) = g(f(x))

x^2 - 5x + 2 = (5 - f(x))/3

3(x^2 - 5x + 2) = 5 - f(x)

3x^2 - 15x + 6 = 5 - f(x)

f(x) = -3x^2 + 15x - 6 + 5

f(x) = -3x^2 + 15x - 1

f(3) = -3(3^2) + 15(3) - 1

f(3) = -3(9) + 45 - 1

f(3) = -27 + 44

f(3) = 17