Diberikan dua buah fungsi masing-masing f(x) dan g(x) berturut-turut adalah: f(x) = x^2 + (-5) g(x) = -x^2 + 2 Tentukan: a. F o g (x) b. g o f (x) c. F o g (-2)

f(x) = x² + (-5)
g(x) = -x² + 2

a. fog(x) = f(g(x)
= f(-x² + 2)
= (-x² + 2)² - 5
= x⁴ - 4x² + 4 - 5
= x⁴ - 4x² - 1
b. gof(x) = g(f(x)
= g(x² - 5)
= -(x² - 5)² + 2
= -(x⁴ - 10x² + 25) + 2
= -x⁴ + 10x² - 23
c. fog(x) = x⁴ - 4x² - 1
fog(-2) = (-2)⁴ - 4(-2)² - 1
fog(-2) = 16 - 4(4) - 1
fog(-2) = 16 - 16 - 1
fog(-2) = 0 - 1
fog(-2) = -1
d. gof(x) = -x⁴ + 10x² - 23
gof(-4) = 4⁴ + 10(-4)² - 23
gof(-4) = 256 + 10(16) - 23
gof(-4) = 256 + 160 - 23
gof(-4) = 393
e. gof(3) = (-3)⁴ + 10(3)² - 23
gof(3) = 81 + 10(9) - 23
gof(3) = 81 + 90 - 23
gof(3) = 148