Question

Y=f(x)=16^x find f(x) when x=1/2

Answer 1

4

Explanation:

Using the rule of exponents

•
`a^{(m)/(n) }` ⇔
`\sqrt[n]{a^(m) }`

f(x) =
`16^{(1)/(2) }` =
`√(16)` = 4

Answer 2

f(1/2) = 4

Explanation:

f(1/2) has the meaning of wherever you see x on the right hand side, you put in 1/2.

f(1/2) = 16^(1/2) = sqrt(16) [A power of 1/2 is a square root]

f(1/2) = 4

Answer: 4