Step-by-step explanation:
g(x) = 2x² − 5x + 1
a) g(0)
g(0)=2[tex](0)^{2}[/tex]-5(0)+1
=1
b) g(-2)
g(2)=2[tex](-2)^{2}[/tex]-5(-2)+1
=8+10+1
=19
c) g(4)
g(4)=2[tex](4)^{2}[/tex]-5(4)+1
=32-20+1
=11
d) g(-x)
g(x) = 2x² − 5x + 1
g(-x)=2[tex](-x)^{2}[/tex]-5(-x)+1
=2[tex]x^{2}[/tex]+5x+1
e) g(1 – t)
g(x) = 2x² − 5x + 1
g(1-t)=2[tex](1-t)^{2}[/tex]-5(1-t)+1
=2[tex]t^{2}[/tex]+t-2