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OverLord2011 [107]
3 years ago
11

Which function below is the inverse of f(x) = x2 − 25?

Mathematics
2 answers:
Tatiana [17]3 years ago
5 0
         f(x) = x² - 25
            y = x² - 25
            x = y² - 25
       + 25       + 25
    x + 25 = y²
  √x + 25 = √y²
±√x + 25 = y
±√x + 25 = f⁻¹(x)
Viktor [21]3 years ago
3 0
f(x)  =  x^{2}  -  25
Let f(x)  =  y
  thus y = x^{2}  -  25
switch the position of y and x in the equation
     x =  y ^{2}  -  25
then solve for y in this case
     x  +  25  =   y^{2} 

∴   y=\sqrt{x  +  25}

Thus, f^{-1} (x)  =   \sqrt{x  +  25}
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