Diketahui rumus fungsi f(x) = px + q. Jika f(2) = −1, f(−1) = 8 dan f(n) = −4. Nilai n adalah …

<h2><i><strong>Halo Zynz, kakak bantu jawab ya :) Jawaban dari pertanyaan di atas adalah 3. Penyelesaian soal di atas menggunakan konsep nilai fungsi dan sistem persamaan linear dua variabel metode substitusi.&nbsp;</strong></i></h2><h2>&nbsp;</h2><h2><strong>Diketahui:&nbsp;</strong></h2><h2><strong>f(x) = px + q&nbsp;</strong></h2><h2><strong>f(2) = −1 f(−1)&nbsp;</strong></h2><h2><strong>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 8 f(n)&nbsp;</strong></h2><h2><strong>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= −4&nbsp;</strong></h2><h2>&nbsp;</h2><h2><strong>Untuk f(2) = −1&nbsp;</strong></h2><h2><strong>f(2) = p(2) + q&nbsp;</strong></h2><h2><strong>&nbsp; -1 &nbsp; = 2p + q&nbsp;</strong></h2><h2><strong>&nbsp; &nbsp; q &nbsp; = -2p - 1 ...(1)&nbsp;</strong></h2><h2>&nbsp;</h2><h2><strong>Untuk f(−1) = 8&nbsp;</strong></h2><h2><strong>f(-1) = p(-1) + q&nbsp;</strong></h2><h2><strong>&nbsp; &nbsp; 8 &nbsp; &nbsp;= -p + q ... (2)&nbsp;</strong></h2><h2>&nbsp;</h2><h2><strong>Substitusikan persamaan (1) ke persamaan (2) untuk menentukan nilai p.&nbsp;</strong></h2><h2><strong>&nbsp; &nbsp;8 &nbsp; &nbsp;= -p + q&nbsp;</strong></h2><h2><strong>&nbsp; &nbsp;8 &nbsp; &nbsp;= -p + (-2p - 1)&nbsp;</strong></h2><h2><strong>&nbsp; &nbsp;8 &nbsp; &nbsp;= -p - 2p - 1&nbsp;</strong></h2><h2><strong>&nbsp; &nbsp;8 &nbsp; &nbsp;= -3p - 1&nbsp;</strong></h2><h2><strong>8 +1 = -3p 9&nbsp;</strong></h2><h2><strong>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = -3p&nbsp;</strong></h2><h2><strong>p &nbsp; &nbsp; &nbsp; = 9/-3&nbsp;</strong></h2><h2><strong>p &nbsp; &nbsp; &nbsp; = -3&nbsp;</strong></h2><h2>&nbsp;</h2><h2><strong>Subsitusikan p = -3 ke persamaan (1) untuk menentukan nilai q.&nbsp;</strong></h2><h2><strong>q = -2p - 1&nbsp;</strong></h2><h2><strong>q = -2(-3) - 1&nbsp;</strong></h2><h2><strong>q = 6 - 1&nbsp;</strong></h2><h2><strong>q = 5&nbsp;</strong></h2><h2>&nbsp;</h2><h2><strong>Sehingga rumus fungsi f(x) yaitu:&nbsp;</strong></h2><h2>f(x) = px + q&nbsp;</h2><h2>f(x) = -3x + 5&nbsp;</h2><h2>&nbsp;</h2><h2>Nilai n jika f(n) = −4 yaitu:&nbsp;</h2><h2>f(n) &nbsp; = -3n + 5&nbsp;</h2><h2>&nbsp; &nbsp;-4 &nbsp; &nbsp;= -3n + 5&nbsp;</h2><h2>-4 - 5 = -3n&nbsp;</h2><h2>&nbsp; &nbsp;-9 &nbsp; &nbsp;= -3n&nbsp;</h2><h2>&nbsp; &nbsp; &nbsp;n &nbsp; &nbsp;= -9/-3&nbsp;</h2><h2>&nbsp; &nbsp; &nbsp;n &nbsp; &nbsp;= 3&nbsp;</h2><h2>Jadi nilai n adalah 3.&nbsp;</h2><h2>&nbsp;</h2><h2>Semoga membantu ya, Selamat mengerjakann<strong> :)</strong></h2>