1- Dada a função f(x)=vert 3x+2vert ,g(x)=vert 2x-1vert ,h(x)=vert -x+4vert Determine: a) 8(2)= b) g(-2)+f(3)+h(1)=-5 c) f(3)=12 d) f(-1)+h(5)= e) h(0)-g(2)= f) g(-4)+f(0)=

Vamos resolver cada item da questão:<br /><br />a) \( g(2) \)<br />\[ g(2) = |2 \cdot 2 - 1| = |4 - 1| = |3| = 3 \]<br /><br />b) \( g(-2) + f(3) + h(1) = -5 \)<br />\[ g(-2) = |2 \cdot (-2) - 1| = |-4 - 1| = |-5| = 5 \]<br />\[ f(3) = |3 \cdot 3 + 2| = |9 + 2| = |11| = 11 \]<br />\[ h(1) = |-1 + 4| = |3| = 3 \]<br />\[ g(-2) + f(3) + h(1) = 5 + 11 + 3 = 19 \neq -5 \]<br /><br />c) \( f(3) = 12 \)<br />\[ f(3) = |3 \cdot 3 + 2| = |9 + 2| = |11| = 11 \neq 12 \]<br /><br />d) \( f(-1) + h(5) \)<br />\[ f(-1) = |3 \cdot (-1) + 2| = |-3 + 2| = |-1| = 1 \]<br />\[ h(5) = |-(5) + 4| = |-5 + 4| = |-1| = 1 \]<br />\[ f(-1) + h(5) = 1 + 1 = 2 \]<br /><br />e) \( h(0) - g(2) \)<br />\[ h(0) = |-(0) + 4| = |4| = 4 \]<br />\[ g(2) = |2 \cdot 2 - 1| = |4 - 1| = |3| = 3 \]<br />\[ h(0) - g(2) = 4 - 3 = 1 \]<br /><br />f) \( g(-4) + f(0) \)<br />\[ g(-4) = |2 \cdot (-4) - 1| = |-8 - 1| = |-9| = 9 \]<br />\[ f(0) = |3 \cdot 0 + 2| = |2| = 2 \]<br />\[ g(-4) + f(0) = 9 + 2 = 11 \]<br /><br />Portanto, as respostas corretas são:<br />a) 3<br />d) 2<br />e) 1<br />f) 11