Tentukan invers dari fungsi fungsi dibawah ini, A) f(x)=4x+5 B) f(x)=1/2x-3 C) f(x)=3x-1 D) f(x)=1/3(2x-5)
Matematika
elsamarchel
Pertanyaan
Tentukan invers dari fungsi fungsi dibawah ini,
A) f(x)=4x+5
B) f(x)=1/2x-3
C) f(x)=3x-1
D) f(x)=1/3(2x-5)
A) f(x)=4x+5
B) f(x)=1/2x-3
C) f(x)=3x-1
D) f(x)=1/3(2x-5)
1 Jawaban
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1. Jawaban dharmawan14
a) f(x) = 4x +5
y = 4x + 5
4x = y -5
x = 1/4y - 5/4
f-1(x) = (1/4)x - 5/4
b) f(x) = 1/2x -3
y = 1/2x - 3
1/2x = y + 3
x = 2y + 6
f-1(x) = 2x + 6
c) f(x) = 3x - 1
y = 3x -1
3x = y + 1
x = 1/3y + 1/3
f-1(x) = (1/3)x + 1/3
d) f(x) = 1/3(2x-5)
y = 1/3(2x -5)
3y = 2x -5
2x = 3y +5
x = (3/2)y + 5/2
f-1(x) = (3/2)x + 5/2.