Matematika

Pertanyaan

13. Jika f(x) = 2 – x, g(x) = x2
– 3, dan h(x) = 4x, maka nilai dari ( h o g o f )(1) = ...
A. -16
B. -8
C. -6
D. 1
E. 2

1 Jawaban

  • f(x) = 2-x
    g(x) = x^2-3
    h(x) = 4x

    (h o g o f)(x) = 4x o (2-x)^2 -3
    = 4x o 4-2x-2x+x^2 -3
    = 4x o x^2-4x+4-3
    = 4(x^2-4x+1)
    = 4x^2-16x+4

    (h o g o f)(1) = 4(1)^2-16(1)+4
    = 4-16+4
    = -8

Pertanyaan Lainnya