Question

Given the function that g(x) = 2x² − 5x + 1, find each of the following.

-
a) g(0)
b) g(-2)
c) g(4)
d) g(-x)
e) g(1 – t)

Answer 1

Explanation:

g(x) = 2x² − 5x + 1

a) g(0)

g(0)=2
`(0)^(2)`-5(0)+1

=1

b) g(-2)

g(2)=2
`(-2)^(2)`-5(-2)+1

=8+10+1

=19

c) g(4)

g(4)=2
`(4)^(2)`-5(4)+1

=32-20+1

=11

d) g(-x)

g(x) = 2x² − 5x + 1

g(-x)=2
`(-x)^(2)`-5(-x)+1

=2
`x^(2)`+5x+1

e) g(1 – t)

g(x) = 2x² − 5x + 1

g(1-t)=2
`(1-t)^(2)`-5(1-t)+1

=2
`t^(2)`+t-2