tentukan fog (3/2) jika di ketahuif(x)= 3/4 x²+3x-6g(x)= -1/2x+4tolong bantu jawab dengan jalan & rumus nya kk ​

Jawab:Penjelasan dengan langkah-langkah:f(x) = 3/4 x²+3x-6g(x) = -1/2x+4(fog)(x) = f(g(x))= ¾ (-1/2x+4)² + 3 (-1/2x+4) - 6= ¾ (¼ x² - 4x + 16) - (3/2)x + 12 - 6= (3/16)x² - 3x + 12 - (3/2)x + 12 - 6= (3/16)x² - 4 ½ x + 18(fog)(3/2) = (3/16)(3/2)² - 4 ½ (3/2) + 18(fog)(3/2) = (3/16)(9/4) - (9/2)(3/2) + 18(fog)(3/2) = (27/64) - (27/4) + 18(fog)(3/2) = (27/64) - (432/64) + (1152/64)(fog)(3/2) = 747/64 = 11 43/64 = 11.67

Answered by arnymatematika | 2025-08-18