daltonsmith1413
daltonsmith1413
22-06-2016
Mathematics
contestada
Let f(x) = x2 − 81. Find f−1(x).
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olemakpadu
olemakpadu
26-06-2016
f(x) = x² - 81
Finding f⁻¹(x) the inverse function
Let y = f(x) and solve for x.
y = x² - 81
y + 81 = x²
x² = y + 81
x = √(y + 81)
Recall f(x) = y, that means x = f⁻¹(y)
x = √(y + 81)
f⁻¹(y) = √(y + 81)
Therefore f⁻¹(x) = √(x + 81)
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