Answer:
f(x)=4(3)^2
(2,36)
36=4(3)^2
36=4(9)
36=36
Step-by-step explanation:
Answer: Hi! here you want a function that pases through the point (2,36)
it means, a function f(x) so f(2) = 36.
Also, f(x) must be an exponential function, this means that f(x) = [tex]a^{x}[/tex]
where a is a real number.
then [tex]a^{2}[/tex] = 36
so a = [tex]\sqrt{36}[/tex] = ± 6.
then your function can be f(x) = [tex]-6^{x}[/tex] or [tex]6^{x}[/tex].
Notice that i used a very simplest example of exponential function. You actually can found lots of exponential functions F(x) that passes through the point (2,36).
