Question

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For an exponential function, $f\left(x\right)=C{a}^x,\frac{f(x+1)}{f\left(x\right)}=$

Short answer

The value of the function$\frac{f(x+1)}{f\left(x\right)}$ is $a$

Step-by-step solution

Step 1. Given

The exponential function $f\left(x\right)=C{a}^x=\frac{f(x+1)}{f\left(x\right)}$

To find the value of given function

Step 2. Find the value of f(x+1),f(x)

$f\left(x\right)=C{a}^x$

Similarly, $$\begin{gathered} f(x+1)=C{a}^{x+1} \\ =C{a}^x.a \end{gathered}$$

Step 3. Solve the function

Solve the equation

$$\begin{gathered} \frac{f(x+1)}{f\left(x\right)}=\frac{C{a}^x.a}{C{a}^x} \\ =a \end{gathered}$$