Answer:
b. -10
c. [tex]2x^{2} -4x - 7[/tex]
d. 166
e. 25
Step-by-step explanation:
f(-2) + g(-3)
f(-2) = [tex]-2^{2} - 3[/tex] = 4 - 3 = 1
g(-3) = 4(-3) + 1 = -12 +1 = -11
(1) + (-11) = 1 - 11 = -10
2f(x) - g(x)
[tex]2(x^{2} - 3) - (4x + 1)[/tex]
[tex](2x^{2} - 6) -4x - 1[/tex]
[tex]2x^{2} -4x - 7[/tex]
f(g(3))
g(3) = 4(3) + 1 = 12 + 1 = 13
f(13) = [tex]13^{2} - 3[/tex] = 169 - 3 = 166
g(f(3))
f(3) = [tex]3^{2} -3[/tex] = 9 - 3 = 6
g(6) = 4(6) + 1 = 24 + 1 = 25
