Question

What’s the inverse? Can someone also show the steps?

Answer 1

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f (x) = (1/2)((x^2 - 5)

Explanation:

First: replace that "f(x)" with "y:" y = √(2x + 5)

Second, interchange x and y: x = √(2y + 5)

Third, solve this result for y. Begin by squaring both sides:

x^2 = 2y + 5

Next, subtract 5 from both sides: x^2 - 5 = 2y

Lastly, divide both sides by 2: y = (1/2)(x^2 - 5)

Fourth: replace y with

-1

f (x):

-1

f (x) = (1/2)((x^2 - 5)