Find the inverse of the function y=2x^2

Question

Marie Ali

Mathematics

21 December, 12:57

Find the inverse of the function y=2x^2

+3

Answers (2)

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Andrew Dean · Answer 1

X=2y2x=2y2

Solve for yy.

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y=√2x2,-√2x2y=2x2,-2x2

Solve for yy and replace with f-1 (x) f-1 (x).

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f-1 (x) = √2x2,-√2x2

Shannon Cordova · Answer 2

to find the inverse exchange the x and y and then solve for y

y = 2x^2

x = 2y^2

divide by 2

x/2 = y^2

take the square root of each side

sqrt (x/2) = y

the inverse of y = 2x^2 is sqrt (x/2)