If F(x) = 4x + 16; Find F-1(x).
Solution
HINT: F-1(x) means
inverse.
PROCEDURE:
Make x the subject and then
interchange x and y variables.
Let y=F(x)
So, y= 4x + 16
y – 16 = 4x
y – 16 = 4x
4
4
y – 16 = x
4
x = y
– 16 after rearranging
4
F-1(x) = x – 16 after interchanging x and y variables.
4
Hence, F-1(x) = x – 16
4
TRY THIS………………
If F(x) = 11x + 30; Find F-1(x).
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