What is the inverse of the function f(x) log4 x?
回答 (3)
y = f(x)
y = log₄(x)
x = 4^y
Hence, f⁻¹(x) = 4^x
Let f(x) = y
Hence
y = log(4)x
Antilog
4^y = x
'Swop' the letters
y = 4^x
f^-1(x) = 4^x (The inverse).
Well,
y = log4 x
4^y = 4^(log4 x)
4^y = x
therefore the inverse function is
f^-1 (x) = 4^x
hope it' ll help !!
收錄日期: 2021-04-18 15:05:40
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