Find the inverse function of g(x) = e^(3x+2)
Find the solution of this equation:
x^1/4 = 1400 * logx
2006-09-06 06:00:30 · 3 answers · asked by ? 1 in Science & Mathematics ➔ Mathematics
you just need to swap x , y
Look what am doing dear;
g(x) = e^(3x+2)
g^-1x or g(y) = e^( 3y +2)
& the solution is y = -∞
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x^1/4 -1400 * logx =0
x^ 1/4 = x/4
x/4 - 1400 log(x)
1/4 ( x - 5600 log(x))
Good Luck.
2006-09-06 06:20:56 · answer #1 · answered by sweetie 5 · 1⤊ 1⤋
Inverse of g(x) :
(1) Swap x & y
x = e ^ (3y + 2)
(2) Solve for y
ln |x| = 3y + 2
y = (ln |x| -2 )/3
2006-09-06 06:06:11 · answer #2 · answered by phosphoricx3 2 · 1⤊ 2⤋
y = e^(3x + 2)
ln y = 3x + 2
(ln y) - 2 = 3x
x = [(ln y) - 2] / 3
Inverse function therefore: g(inv) (x) = [(ln x) - 2] / 3
No exact solution is possible. However, the approximate solution is 1.001647.
2006-09-06 07:01:38 · answer #3 · answered by dutch_prof 4 · 1⤊ 1⤋