mohon bantuannya
h(x)=4x-7 per x+1
tentukan fungsi inversnya!![]()
h(x)=4x-7 per x+1
tentukan fungsi inversnya!
Jawaban:
ingat
rumus fungsi invers
[tex]f(x) = \frac{ax + b}{cx + d} \\ {f}^{ - 1} (x) = \frac{ - dx - b}{cx - a} [/tex]
maka:
[tex]h(x) = \frac{4x - 7}{x + 1} [/tex]
[tex]y = h(x) = \frac{4x - 7}{x + 1} \\ y(x + 1) = 4x - 7 \\ yx + y = 4x - 7 \\ yx - 4x = - y - 7 \\ (y - 4)x = - y - 7 \\ x = \frac{ - y - 7}{y - 4} \\ {f}^{ - 1} (y) = \frac{ -y -7}{ y-4} \\ {f}^{ - 1} (x) = \frac{ -x -7}{ x- 4} [/tex]
[answer.2.content]
