f(x) = x + 2 g(x) = [tex]x^{2}[/tex] h(x) = 2 log x Tentukan : a.[tex](fogoh)^{-1} (4)[/tex] ....? b.[tex](gohof)^{-1} (2)[/tex] ....?

^ = pangakat

f(x) = x + 2
g(x) = x²
h(x) = 2 log x

(fogoh) (x) = (2 log x)² + 2
(fogoh) (x) = 2 log² x + 2
y = 2 log² x + 2
log² x = (y - 2) / 2
log x = √(y - 2) / 2
x = 10^√(y - 2) / 2
(fogoh) -¹(x) = 10^√(x - 2) / 2
(fogoh) -¹ (4) = 10^√(4 - 2) / 2
(fogoh) -¹ (4) = 10^1
(fogoh) -¹(4) = 10

(gohof) (x) = (2 log (x + 2))²
(gohof) (x) = log² (x + 2)²
y = log² (x + 2)²
log (x + 2)² = √y
(x + 2)² = 10^√y
x + 2 = √10^√y
x = -2 + √10^√y
(gohof) -¹(x) = -2 + √10^√x
(gohof) -¹(2) = -2 + √10^√2

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