jika f(x) = 1-x² g(x) = 2x+1 ditanya: f(g(x)) g(f(x))

Question

Matematika Diposting : 2014-10-26 Diupdate : 2021-08-17 murniastutik

Pertanyaan

jika f(x) = 1-x²
g(x) = 2x+1
ditanya:
f(g(x))
g(f(x))

Answer 1

f(x) =1-x²
g(x)=2x+1
f(g(x)) = 1-(2x+1)² = 1 - (4x²+4x+1) = -4x²-4x-1+1 = -4x²-4x
g(f(x)) = 2(1-x²)+1 = 2 -2x²+1 = -2x²+3

Answer 2

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