Question

10 evaluate $f(x) = 3 cdot 2^{x - 2} + 2$ for $f(4)$.
a) 8
b) 194
c) 38
d) 14

Explanation:

Step1: Substitute $x=4$ into $f(x)$

$f(4) = 3 \cdot 2^{4-2} + 2$

Step2: Simplify the exponent

$4-2=2$, so $f(4) = 3 \cdot 2^{2} + 2$

Step3: Calculate the power term

$2^2=4$, so $f(4) = 3 \cdot 4 + 2$

Step4: Perform multiplication then addition

$3 \cdot 4 = 12$, so $f(4) = 12 + 2$

Answer:

D. 14