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       Log On


   



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) About Me  (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)
+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+10%5Ex%2C+log+%2810%2C+x%29%29+