NOMOR 3.
[tex]f(x) = \frac{3x - 2}{2x + 5} [/tex]
Misalkan, [tex]y = f(x)[/tex]
Maka, [tex]y = \frac{3x - 2}{2x + 5} [/tex]
[tex](y)(2x + 5) = (3x - 2)[/tex]
[tex]2xy + 5y = 3x - 2[/tex]
[tex]2xy - 3x = - 5y - 2[/tex]
[tex]x(2y - 3) = - 5y - 2[/tex]
[tex]x = \frac{ - 5y - 2}{2y - 3} [/tex]
[tex]x = \frac{ - (5y + 2)}{ - (3 - 2y)} [/tex]
[tex]x = \frac{5y + 2}{3 - 2y} [/tex]
[tex] {f}^{ - 1} (x) = \frac{5x + 2}{3 - 2x} [/tex]
NOMOR 4.
[tex]f(x) = \frac{ - 2x + 1}{x - 3} [/tex]
Misalkan, [tex]y = f(x)[/tex]
Maka, [tex]y = \frac{ - 2x + 1}{x - 3} [/tex]
[tex](y)(x - 3) = ( - 2x + 1)[/tex]
[tex]xy - 3y = - 2x + 1[/tex]
[tex]xy + 2x = 3y + 1[/tex]
[tex]x(y + 2) = 3y + 1[/tex]
[tex]x = \frac{3y + 1}{y + 2} [/tex]
[tex] {f}^{ - 1} (x) = \frac{3x + 1}{x + 2} [/tex]
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