Answer:
Step-by-step explanation:
f(x) = x² + 1
g(x) = 2x - 1
1) f(- 1) = (- 1)² + 1
f(- 1) = 1 + 1 = 2
b) f(-2) + g(-3)
f(-2) = (- 2)² + 1
f(-2) = 4 + 1 = 5
g(-3) = 2 × - 3 - 1 = - 6 - 1
g(- 3) = - 7
f(-2) + g(-3) = 5 - 7 = - 2
c) 3f(x) + 2g(x)
= 3(x² + 1) + 2(2x - 1)
= 3x² + 3 + 4x - 2
= 3x² + 4x + 1
d) f(g(3))
g(3) = 2 × 3 - 1 = 6 - 1 = 5
f(g(3)) = 5² + 1 = 25 + 1
f(g(3)) = 26
e) g(f(3))
f(3) = 3² + 1 = 9 + 1 = 10
g(f(3)) = 2 × 10 - 1 = 20 - 1
g(f(3)) = 19
