Mohon bantuannya disertai langkah penyelesaiannya yaw

By Admin ReiPosted on December 9, 2022

Mohon bantuannya disertai langkah penyelesaiannya yaw

Mohon bantuannya disertai langkah penyelesaiannya yaw

NOMOR 3.

$f(x) = frac{3x - 2}{2x + 5}$

Misalkan, $y = f(x)$

Maka, $y = frac{3x - 2}{2x + 5}$

$(y)(2x + 5) = (3x - 2)$

$2xy + 5y = 3x - 2$

$2xy - 3x = - 5y - 2$

$x(2y - 3) = - 5y - 2$

$x = frac{ - 5y - 2}{2y - 3}$

$x = frac{ - (5y + 2)}{ - (3 - 2y)}$

$x = frac{5y + 2}{3 - 2y}$

${f}^{ - 1} (x) = frac{5x + 2}{3 - 2x}$

NOMOR 4.

$f(x) = frac{ - 2x + 1}{x - 3}$

Misalkan, $y = f(x)$

Maka, $y = frac{ - 2x + 1}{x - 3}$

$(y)(x - 3) = ( - 2x + 1)$

$xy - 3y = - 2x + 1$

$xy + 2x = 3y + 1$

$x(y + 2) = 3y + 1$

$x = frac{3y + 1}{y + 2}$

${f}^{ - 1} (x) = frac{3x + 1}{x + 2}$