diketahui f(x)=4x-1,g(x)=x².tentukanlah a.(fog)(x) b.(gof)(x)

A)

(fog)(x) = f(g(x))

f(x^2) = 4(x^2) - 1
= 4x^2 - 1

B)

(gof)(x) = g(f(x))
g(4x - 1)
= (4x-1)^2
= (4x - 1)(4x - 1)
= 16x^2 - 4x - 4x + 1
= 16x^2 - 8x + 1

f(x) = 4x-1
g(x) = x²

a) (fog)(x) = f(g(x)) = f(x²) = 4(x²)-1 = 4x²-1
b) (gof)(x) = g(f(x)) = g(4x-1) = (4x-1)² = 4x²-8x+1