Tentukanlah invers dari : (a) y = ln(x + 3) (b) f(x) = e^(x^3 ) (c) y = 2x^3 + 3
Posted by andi telaumbanua on Feb 10, 2018 in Matematika |
Tentukanlah invers dari :
(a) y = ln(x + 3)
(b) f(x) = e^(x^3 )
(c) y = 2x^3 + 3
Jawab:
(a) y = ln(x + 3)
e^y = e^( ln(x + 3))
e^y=x+3
x = e^y – 3
maka : y^(-1) = e^x – 3
(b) f(x) = e^(x^3 )
y = e^(x^3 )
ln y = lne^(x^3 )
ln y = x^3 x = ∛(lny )
maka : f(x)^(-1) = √(3&lnx )
(c) y = 2x^3 + 3
y – 3 = 2x^3
(y – 3)/2 = x^3
∛((y – 3)/2 ) = x
maka : y^(-1)= √(3&(x – 3)/2 )
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Tentukanlah invers dari :
(a) y = ln(x + 3)
(b) f(x) = e^(x^3 )
(c) y = 2x^3 + 3
