Diketahui suatu fungsi f(x) = ½x+p.Fungsi f(x) memetakan himpunan bilangan real ke himpunan bilangan real. Jika -p adalah prapeta dari (p - 2), tentukan: a.nilai p b.rumus fungsi f(x) c.nilai f(p+2)
MathSolver74
F(-p) = p - 2 1/2 (-p) + p = p - 2 1/2 p = p - 2 2 = 1/2 p p = 4
f(x) = 1/2 x + 4
f(p + 2) = 1/2 (p + 2) + p = (3/2)p + 1
1 votes Thanks 1
Juliannaridha1
F ( x ) = ½x + p F ( -p ) = ½ ( -p ) + p P - 2 = ½ ( -p ) + p P - 2 = -p/2 + p P - 2 = - p + 2p ÷ 2 -2p + 4 = p -2p + p = 4 A. P = 4 B. Rumus fungsi = f ( x ) = ½x + 4 F ( p + 2 ) = ½ ( p + 2 ) + 4 C. F ( p + 2 ) = ½p + 1 + 4 = ½p + 5
1/2 (-p) + p = p - 2
1/2 p = p - 2
2 = 1/2 p
p = 4
f(x) = 1/2 x + 4
f(p + 2) = 1/2 (p + 2) + p
= (3/2)p + 1