Question

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 1

Answer:

$g(-2)=20$

Step-by-step explanation:

Given $g(x)=2x^2-2x+8$, substitute what is in the parentheses for $x$ to find an output.

For $g(-2)$, the term $-2$ is in the parentheses. Thus, substitute $x=-2$ into $2x^2-2x+8$ to find $g(-2)$:

$g(-2)=2(-2)^2-2(-2)+8,\\g(-2)=2\cdot 4+4+8,\\g(-2)=8+4+8,\\g(-2)=\boxed{20}$

Answer 2

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.