If F(x) = 8x + 10;
Find F-1(90).
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= 8x + 10
y – 10 = 8x
y – 10 = 8x
8
8
y – 10 = x
8
x = y
– 10 after rearranging
8
y-1 = x – 10 after interchanging x and y variables.
8
F-1(x) = x
– 10 after interchanging x and y
variables.
8
Now we calculate F-1(90)
as hereunder;
F-1(90) = 90
– 10
8
F-1(90) = 80
8
F-1(90) = 10 [after
dividing 80 by 8]
Hence, F-1(90)
= 10
TRY THIS……………………………
If F(x) = 7x + 20; Find F-1(4).
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