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Write the exponential function / (x)=-4.2^(1-x) in the form f(x) = ab^x

Write the exponential function / (x)=-4.2^(1-x) in the form f(x) = ab^x-example-1
User Itsproinc
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1 Answer

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Given the equation of the function f(x):


f(x)=-4\cdot2^((1-x))

We will use the following rules of the exponents:


\begin{gathered} a^(m+n)=a^m\cdot a^n \\ a^(-m)=(1)/(a^m) \\ a^(mn)=(a^m)^n \end{gathered}

So, we can rewrite f(x) as follows:


\begin{gathered} f(x)=-4\cdot2^((1-x)) \\ f(x)=-4\cdot2^1\cdot2^(-x) \\ f(x)=-4\cdot2\cdot(2^(-1))^x \\ \\ f(x)=-8\cdot((1)/(2))^x \end{gathered}

So, the answer will be option B

User Yiinewbie
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