SOLUTION: Given the exponential function f(x) = 10 ^ x
a) determine the inverse function f^(-1) (x)
b) graph f(x) and f^(-1)(x) on the same grid
Can you please help me out ? Thanks so
Algebra ->
Exponential-and-logarithmic-functions
-> SOLUTION: Given the exponential function f(x) = 10 ^ x
a) determine the inverse function f^(-1) (x)
b) graph f(x) and f^(-1)(x) on the same grid
Can you please help me out ? Thanks so
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Question 864777: Given the exponential function f(x) = 10 ^ x
a) determine the inverse function f^(-1) (x)
b) graph f(x) and f^(-1)(x) on the same grid
Can you please help me out ? Thanks so much in advance:) Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! let y = f(x)
a) y = 10^x
solve for x
x = log (y)
now switch x and y
y = log (x) and now
f^-1(x) = log (x)
b) here is the graph
red is 10^x, green is log(x)