Question

What is the value for ƒ(x) = 4^2^x - 100 when x = 2 ?

Answer 1

ƒ(x) = 4^2x - 100 when x = 2

f(x) = 4^2(2) - 100

f(x) = 16(2) - 100

f(x) = 32 - 100

f(x) = -68

Answer 2

\[\large f(x) = 4^{2^x} - 100 = (4^2)^x - 100= 4^{2x} - 100\]
\[\large f(2) = 4^{2(2)} - 100\]
\[\large f(2) = 4^{4} - 100\]
\[\large f(2) = 256 - 100\]
\[\large f(2) = 156\]