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3 years ago

Find the inverse of the equation y=x2+3

Mathematics

2 answers:

Veronika [31]3 years ago

5 0

Answer:

-1

f (x) = sqrt(x - 3)

Step-by-step explanation:

Hope you won't mind the correction, but that's y = x^2 + 3. Use " ^ " to indicate exponentiation.

Starting with y = x^2 + 3, interchange x and y:

x = y^2 + 3

Next, solve for y: y^2 = x - 3, or y = +sqrt(x - 3).

Note that we'd normally write "plus or minus sqrt(x - 3)," but that would provide two y values for each x value (which violates the definition of "function').

Finally, replace "y" with the inverse function label:

-1

f (x) = sqrt(x - 3)

Step2247 [10]3 years ago

3 0

y = the square root of (x-3)

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