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1.Explain why exponential functions of the form y = a ⋅ bx have the following requirements...

1.Explain why exponential functions of the form y = a ⋅ bx have the following requirements

  • The base b > 0
  • The base b≠1

2.Johanna solves 3x+2= 243 by first substituting 9*3x for 3x+2 and then dividing both sides by 9 to obtain 3x = 27 . Explain whether her process so far is correct.

3. When using algebra to find inverse functions, sometimes we have to restrict the domain. Explain when we have to restrict the domain and why.

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