Answer:
-1
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)