[tex]\\ \sf\longmapsto g(x)=-2x^2+1[/tex]
[tex]\\ \sf\longmapsto g(2)[/tex]
[tex]\\ \sf\longmapsto -2(2)^2+1[/tex]
[tex]\\ \sf\longmapsto -2(4)+1[/tex]
[tex]\\ \sf\longmapsto -8+1[/tex]
[tex]\\ \sf\longmapsto -7[/tex]
Answer:
[tex]g(2)=-7[/tex]
Step-by-step explanation:
We are given [tex]g(x)= -2x^2 +1[/tex]. And our input value is [tex]g(2)[/tex]. Therefore, replace "x" with 2 for every x you see, then solve:
[tex]g(x)= -2x^2 +1\\\\g(x)=-2(2)^2+1[/tex]
2 squared
[tex]2 \times 2 = 4[/tex]
Solve the parenthesis. Then complete solution.
[tex]g(x)=-2(4)+1\\-2 \times 4 = -8\\-8 + 1 = -7[/tex]
[tex]g(2)=-7[/tex]