Function Inverses (4.3) An inverse relation interchanges the input ...
Function Inverses (4.3) An inverse relation interchanges the input ... Function Inverses (4.3) An inverse relation interchanges the input ...
Verifying Inverse Functions To verify that two functions are inverses of each other, show that f(g(x)) = x AND g(f(x)) = x. Verify that the two functions are inverses of each other. 1) f(x) = x 3 and g(x) = x + 3 2) f(x) = 1 / 2 x + 3 and g(x) = 2x 6 Mar 49:16 AM 2
Finding the Inverse of a Function 1) Rewrite "f(x) = " as" y = " 2) Switch x and y 3) Solve for y 4) Rewrite as f 1 (x) = Find the inverse of each function. 1) f(x) = 3x 1 2) f(x) = 2 / 3 x 4 Mar 49:21 AM 3
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Verifying Inverse <strong>Function</strong>s<br />
To verify that two functions are <strong>inverse</strong>s of each o<strong>the</strong>r, show<br />
that f(g(x)) = x AND g(f(x)) = x.<br />
Verify that <strong>the</strong> two functions are <strong>inverse</strong>s of each o<strong>the</strong>r.<br />
1) f(x) = x 3 and g(x) = x + 3<br />
2) f(x) = 1 / 2 x + 3 and g(x) = 2x 6<br />
Mar 49:16 AM<br />
2
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