Matematika Jika f(x) = x+3, dan g(x) = x²-1, maka nilai (fog)^-1(1) adalah​

daijaparkerulv – June 05, 2023

Jika f(x) = x+3, dan g(x) = x²-1, maka nilai (fog)^-1(1) adalah​

Jawab:

fog(x)

= f(g(x))

= f(x²-1)

= x²-1+3

= x²+2

mencari invers ⇒ dibalik x & y

y = x²+2 ⇒ x = y²+2

x = y²+2

y² = x-2

y = √(x-2)

fog⁻¹(1) = √(1-2)

          = √-1

Jawaban:

(fog)^-1(1) = -1

Penjelasan dan langkah-langkah:

(fog)(x) = (x² - 1) + 3

= x² - 1 + 3

= x² + 2

(fog)^-1(x) = x² - 2

(fog)^-1(1) = (1)² - 2 = 1 - 2 = -1

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