Pertanyaan

Fungsi f : R → R didefinisikan oleh f ( x ) = 2 + x 3 x + 5 , x  = − 2 invers f(x) adalah .....

Fungsi $f : R \to R$ didefinisikan oleh $f (x) = \frac{3 x + 5}{2 + x}, x \neq = - 2$ invers f(x) adalah .....

$fraction numerator 2 x plus 5 over denominator x plus 3 end fraction comma x not equal to negative 3$
$fraction numerator 2 x minus 5 over denominator x plus 3 end fraction comma space x not equal to negative 3$
$fraction numerator 2 x minus 5 over denominator 3 minus x end fraction comma space x not equal to 3$
$fraction numerator 5 x plus 2 over denominator 3 x plus 1 end fraction comma x not equal to negative 1 third$
$fraction numerator 5 x minus 2 over denominator 3 x minus 1 end fraction comma x not equal to 1 third$

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Klaim

K. Putri

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Ganesha

Jawaban terverifikasi

Pembahasan

Jawaban C Maka,

Jawaban C

$f left parenthesis x right parenthesis equals fraction numerator a x plus b over denominator c x plus d end fraction comma x not equal to negative d over c rightwards double arrow f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator negative d x plus b over denominator c x minus a end fraction comma x not equal to a over c$

Maka,

$f x equals fraction numerator 3 x plus 5 over denominator x plus 2 end fraction comma x not equal to negative 2 rightwards double arrow f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator negative 2 x plus 5 over denominator x minus 3 end fraction equals fraction numerator 2 x minus 5 over denominator 3 minus x end fraction comma x not equal to 3$