Given that g(x) = 2x ^ 2 - 2x + 8 , find each of the following. a) g(0) b) g(- 2) C) g(3) d) g(- x) e) g(1 - t)

Answer:
[tex]g(-2)=20[/tex]
Step-by-step explanation:
Given [tex]g(x)=2x^2-2x+8[/tex], substitute what is in the parentheses for [tex]x[/tex] to find an output.
For [tex]g(-2)[/tex], the term [tex]-2[/tex] is in the parentheses. Thus, substitute [tex]x=-2[/tex] into [tex]2x^2-2x+8[/tex] to find [tex]g(-2)[/tex]:
[tex]g(-2)=2(-2)^2-2(-2)+8,\\g(-2)=2\cdot 4+4+8,\\g(-2)=8+4+8,\\g(-2)=\boxed{20}[/tex]
Answer:
a) 8
b) 20
c) 20
Step-by-step explanation:
a) Insert X=0 from g(0) to the equation: 2(0) power of 2 - 2x0 +8.
b) Insert X=(-2) from g(-2) to the equation: 2(-2) power of 2 - 2x(-2) +8.
c) Insert X=3 from g(3) to the question 2(3) power of 2 - 2x3 +8.