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Jaylon Santiago
Mathematics
10 December, 04:41
Find the inverse of the function f (x) = 4x-2
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Jaylin Fisher
10 December, 04:48
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f⁻¹ (x) = x/4 + 1/2
Step-by-step explanation:
To find the inverse of a function, switch the x and y variables, then isolate y.
f (x) replaced y, so you can replace it back.
y = 4x - 2
x = 4y - 2 Switched x and y
x + 2 = 4y Added 2 to both sides
y = x/4 + 2/4 Divided both sides by 4
y = x/4 + 1/2 Simplified
f⁻¹ (x) = x/4 + 1/2 Use function notation
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