How do you find the inverse of #f(x)=ln(9x+7)#?
Take the exponential on both sides:
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To find the inverse of ( f(x) = \ln(9x + 7) ):

Replace ( f(x) ) with ( y ). [ y = \ln(9x + 7) ]

Swap ( x ) and ( y ). [ x = \ln(9y + 7) ]

Solve for ( y ). [ e^x = 9y + 7 ] [ e^x  7 = 9y ] [ y = \frac{e^x  7}{9} ]

Replace ( y ) with ( f^{1}(x) ) to express the inverse function. [ f^{1}(x) = \frac{e^x  7}{9} ]
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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