# Using the properties that we know about the inverse

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2)Using the properties that we know about the inverse of a function (Refer section 2.7 page 302), find thedomain and range of logarithmic functions:
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x
b≠1
.
3)Show that for f(x)=bxand f1(x)=logbx:
MAC 1105 Pre-Class Assignment: Inverse of Exponential FunctionsRead section 4.2 ‘Logarithmic Functions’ to prepare for classb)f1(f(x))=xX<04)The graphofy=2xis given in red below. Reflect the graph about the line y=x(its given on the graph in blue) and graph its inverse(If necessary refer section 2.7 page 307 to review graphing of function’s inverse) 5)Based on what you learnt above, what is the inverse of y=2x?
6)Notice that the graph of y=2xgoes through (0,1). What will this point look like on the inverse function?
MAC 1105 Pre-Class Assignment: Inverse of Exponential FunctionsRead section 4.2 ‘Logarithmic Functions’ to prepare for class(1,0)
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