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f(x) = x² - 4
explanation of inverse for this function

Sagot :

semsee45

Answer:

[tex]f^{-1}(x)[/tex] = ±√(x + 4)

Step-by-step explanation:

f(x) = x² - 4

substitute y for f(x):   y = x² - 4

Swap y and x:           x = y² - 4

Make y the subject:  x + 4 = y²  ⇒  y = ±√(x + 4)

substitute [tex]f^{-1}(x)[/tex] for y:  [tex]f^{-1}(x)[/tex] = ±√(x + 4)

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