Respuesta :

Answer: yes it is not exponential

Step-by-step explanation:

you need to simplify your answer and if Exponential functions are in the form y = abx If a is positive and b is greater than 1, then it is exponential growth. If a is positive and b is less than 1 but greater than 0, then it is exponential decay. 5 2 is greater than 1

An exponential function gives a variable raised to the power of x, where the variable is a positive real number

Yes, [tex]\underline{f(x) = 3 ^{(2 \cdot x - 3)}}[/tex] is an exponential function

Reason:

An exponential function is a function that can be written in the form;

f(x) = eˣ

Where;

e = Euler's number, which is the number approximately 2.71828

In the general form, an exponential number is a number given in the form;

f(x) = a·bˣ

Where;

b = A positive real number

The given function; [tex]f(x) = 3 ^{(2 \cdot x - 3)} = \dfrac{3^{2\cdot x}}{3^3} = \dfrac{1}{27} \times 9^x[/tex] is an exponential function

Where;

  • a = [tex]\dfrac{1}{27}[/tex]
  • b = 9

Therefore, the correct response is; Yes, [tex]f(x) = 3 ^{(2 \cdot x - 3)}[/tex] is an exponential function

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