Pre Calculus help with functions
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Pre Calculus help with functions

[From: ] [author: ] [Date: 11-12-15] [Hit: ]
1 = x + 2,Finally,......
Given f(x) = 1-3x and g(x) = x+2, find (f^-1 - g^-1) (1). How do you solve it?

-
James -

I'm going to assume that f^-1 means the "inverse" of f:

The argument is 1, so to find the inverse all you really need to find is what value of x will result in f(x) or g(x) to equal 1:

f(x) = 1-3x
1 = 1 - 3x, so x = 0

g(x) = x+2
1 = x + 2, so x = -1

Finally, simply plug these numbers into the formula:

(f^-1 - g^-1) (1) = 0 - (-1) = 1

Answer is 1

Hope that helps
1
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