Karisa P
27 Agustus 2024 05:54
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Karisa P
27 Agustus 2024 05:54
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Mario A
27 Agustus 2024 07:43
<p>Misalkan a = 7/(3x + 2), akibatnya</p><p>a = 7/(3x + 2)</p><p>3x + 2 = 7/a</p><p>3x = (7/a) - 2</p><p>3x = (7-2a)/a</p><p>x = (7-2a)/(3a)</p><p> </p><p>Dengan demikian,</p><p>f(7/(3x + 2)) = (4x + 5)/(x - 4)</p><p>f(a) = (4(7-2a)/(3a) + 5)/((7-2a)/(3a) - 4)</p><p>f(a) = ((28-8a+15a)/3a)/((7-2a-12a)/3a)</p><p>f(a) = (28+7a)/(7-14a)</p><p>f(a) = 7(4+a)/(7(1-2a))</p><p>f(a) = (a+4)/(-2a+1)</p><p>f(x) = (x+4)/(-2x+1)</p><p>x = (y+4)/(-2y+1)</p><p>x(-2y+1) = y+4</p><p>-2xy+x = y+4</p><p>-2xy-y = -x+4</p><p>y(-2x+1) = -x+4</p><p>y = (-x+4)/(-2x+1)</p><p>f^-1(x) = (-x+4)/(-2x+1)</p><p> </p><p>Akhirnya, diperoleh:</p><p>f^-1(1) = (-1+4)/(-2.1+1) = 3/(-1) = -3</p><p> </p><p> </p><p> </p><p> </p><p> </p>
Misalkan a = 7/(3x + 2), akibatnya
a = 7/(3x + 2)
3x + 2 = 7/a
3x = (7/a) - 2
3x = (7-2a)/a
x = (7-2a)/(3a)
Dengan demikian,
f(7/(3x + 2)) = (4x + 5)/(x - 4)
f(a) = (4(7-2a)/(3a) + 5)/((7-2a)/(3a) - 4)
f(a) = ((28-8a+15a)/3a)/((7-2a-12a)/3a)
f(a) = (28+7a)/(7-14a)
f(a) = 7(4+a)/(7(1-2a))
f(a) = (a+4)/(-2a+1)
f(x) = (x+4)/(-2x+1)
x = (y+4)/(-2y+1)
x(-2y+1) = y+4
-2xy+x = y+4
-2xy-y = -x+4
y(-2x+1) = -x+4
y = (-x+4)/(-2x+1)
f^-1(x) = (-x+4)/(-2x+1)
Akhirnya, diperoleh:
f^-1(1) = (-1+4)/(-2.1+1) = 3/(-1) = -3
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