Pertanyaan

Fungsi f : R → R d an g : R → R dinyatakan oleh f ( x ) = x − 3 x + 2 , x  = 3 d an g ( x ) = x + 4. , Invers fungsi ( f ∘ g ) ( x ) a d a l ah ( f ∘ g ) − 1 ( x ) = ....

Fungsi $f : R \to R d an g : R \to R$ dinyatakan oleh $f (x) = \frac{x + 2}{x - 3}, x \neq = 3 d an g (x) = x + 4.$ , Invers fungsi $(f \circ g) (x) a d a l ah (f \circ g)^{- 1} (x) = ....$

$fraction numerator negative x plus 6 over denominator x minus 1 end fraction comma space x not equal to 1$
$fraction numerator negative x minus 6 over denominator x minus 1 end fraction comma space x not equal to 1$
$fraction numerator negative x plus 6 over denominator x plus 1 end fraction comma space x not equal to negative 1$
$fraction numerator x plus 6 over denominator x minus 1 end fraction comma space x not equal to 1$
$fraction numerator x plus 6 over denominator x plus 1 end fraction comma space x not equal to negative 1$

A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Ingat kembali cara cepat invers fungsi berikut: Maka,

Ingat kembali cara cepat invers fungsi berikut:

$f open parentheses x close parentheses equals fraction numerator a x plus b over denominator c x plus d end fraction rightwards double arrow f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative d x plus b over denominator c x minus a end fraction$

Maka,

$open parentheses f ring operator g close parentheses open parentheses x close parentheses equals fraction numerator x plus 6 over denominator x plus 1 end fraction rightwards double arrow open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative x plus 6 over denominator x minus 1 end fraction comma space x not equal to 1$