Question

type the correct answer in the box. use numerals instead of words. consider functions m and n: n(x) = \frac{1}{4}x^2 - 2x + 4 image of graph of m(x) the value of m(n(2)) is box with 1 the value of n(m(1)) is empty box.

Explanation:

Step1: Find n(2) first

Substitute $x=2$ into $n(x)$:
$n(2) = \frac{1}{4}(2)^2 - 2(2) + 4 = \frac{1}{4}(4) - 4 + 4 = 1 - 4 + 4 = 1$

Step2: Find m(1) from the graph

From the graph of $m(x)$, when $x=1$, $m(1)=2$

Step3: Calculate n(m(1))

Substitute $m(1)=2$ into $n(x)$ (we already found $n(2)=1$):
$n(m(1)) = n(2) = 1$

Answer:

1