mohon dibantu yaa jika f(x) = 5^x g(x) = x^2 + 3 f^1 (g(x)-3) =... terimakasih

jawab


f(x) = 5ˣ
y = 5ˣ
log y = log 5ˣ
x log 5 = log y
x = ⁵log y
f⁻¹(x) = ⁵log x

f⁻¹ { g(x) - 3} = f⁻¹ (x²+3 - 3)
= f⁻¹ (x²)
= ⁵log x²
= 2 .⁵log x