Question

(F0g)(x) =xkuadrat + 3x + 4. g(x) = 4×-5.
Tentukan f(x) dan f(3)

Answer 1

Verified answer

Jwab

fungsi
fog(x) = x² + 3x + 4
g(x) = 4x - 5
f { g(x)}= x² + 3x + 4
f(4x-5) = x²+ 3x + 4
f(x) = {(x +5)/4 }²+ 3 (x+ 5)/4 + 4
f(x) = 1/16 (x + 5)² + 3/4 (x + 5) + 4
f(x) = 1/16 { x² + 10x + 25 + 12 x+ 60 + 64)
f(x) = 1/16 (x² + 22x + 149)

f(3) = 1/16 ( 9+ 66 + 149)=  14