Question

Tolong bantu jawab penting
Diketahui f = R → R dengab f(x) = 4x - 1 dan g = R → R g(x) = x² + 2. Tentukan:
a. (f o g) (x)
b. (g o f) (x)
c. (g o g) (x)

Answer 1

A. fog(x)= f {g(x)}= f(x² + 2) = 4(x²+2) - 1= 4x² +8-1 = 4x² + 7

b. gof(x)= g{f(x)} = g(4x-1) = (4x-1)² + 2 = 16x² - 8x + 1 + 2
gof(x) = 16x² -8x + 3

c. gog(x)= g{g(x)) = g(x² + 2) = (x²+2)² + 2 = x⁴+ 4x²+ 4 + 2
gog(x) = x⁴+ 4x²+ 6