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DOES ANYONE KNOW HOW TO SOLVE INVERSES ON myalgebra.com?
How do you type the format? Here is an example; find the inverse g(x)=5x+5
g^1(x)=?
2 Answers
- Anonymous8 years ago
I'm not sure how to solve inverses on the website, but it's really easy if you look closely.
g(x)=(insert x value here) is the same as saying y=(insert x value here.
So, saying g(x)=5x+5 is the same as saying y=5x=5.
To find the inverse for this equation, you just switch x and y, and then solve for y.
For example:
g(x)=5x+5
y=5x+5
x=5y+5
x-5=5y
((x-5)/5)=y
y=(x-5)/5 is the inverse (or g(x)=(x-5)/5 is the inverse, if you prefer it that way).
Another example (harder this time):
z(x)=17.5x+(-|5.5x|)-14
y=17.5x+(-|5.5x|)-14
y=17.5x-5.5x-14
y=12.5x-14 (Now the equation is in simplest form)
x=12.5y-14
y=(x+14)/12.5
z(x)=(x+14)/12.5 is the inverse.
If you need more help, feel free to shoot me a message. :)
- ?Lv 78 years ago
g(x) = 5x + 5
y = 5x + 5
Switching y and x
x = 5y + 5
5y = x - 5
y = (x - 5)/5
g^-1(x) = (x - 5)/5
The example
g(x) = 17.5x + (-|5.5x|) - 14
y = 17.5x + (-|5.5x|) - 14
= 17.5x - √ ̅(5.5x)^2 - 14
√ ̅(5.5x)^2 = 17.5x - 14 - y
(5.5x)^2 = (17.5x - 14 - y)^2
Switching x and y
(5.5y)^2 = (17.5y - 14 - x)^2
5.5y = ±√ ̅(17.5y - 14 - x)^2
For +
5.5y = 17.5y - 14 - x
y = (x + 14)/12
For -
5.5y = -(17.5y - 14 - x)
y = -(x + 14)/23
So
g^-1(x) = (x + 14)/12 or
g^-1(x) = -(x + 14)/23