The function \(f\) is defined by \(f(x) = a^x - b\), where \(a\) and …

Question

Prompt

The function

f

is defined by

f (x) = a^{x} - b

, where

a

and

b

are constants. In the

x y

-plane, the graph of

y = f (x)

passes through the points

(c, 9)

and

(2 c, 249)

, where

c

is a constant. Which of the following could be the value of

b