The function \(f\) is defined by the equation \(f(x) = 9^x + b\), whe…

Question

Prompt

The function

f

is defined by the equation

f (x) = 9^{x} + b

, where

b

is a constant. In the

x y

-plane, the graph of

y = f (x)

contains the points

(0, 27)

and

(3, p + 16)

, where

p

is a constant. What is the value of

p