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Mathematics
Jada Weaver
23 July, 21:13
If f (x) = 1/2x - 10, then f^-1 (x) =
+5
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1
)
Maximus Mcpherson
24 July, 00:34
0
f^-1 (x) = 2x+20
Step-by-step explanation:
f (x) = 1/2x - 10
To find the inverse, replace f (x) with y
y = 1/2 x - 10
Exchange x and y
x = 1/2 y - 10
Solve for y
Add 10 to each side
x+10 = 1/2 y-10+10
x+10 = 1/2 y
Multiply by 2
2 (x+10) = 1/2y * 2
2x+20 = y
The inverse is
f^-1 (x) = 2x+20
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