c. (g o f)(1) = g(f(1))
f(1) = 2.1²+1 = 3
g(f(1)) = g(3)
g(3) = 3+2 = 5
(g o f)(1) = 5
d. (f o g)(-2) = f(g(-2))
g(-2) = -2+2 = 0
f(g(-2)) = f(0)
f(0) = 2.0²+1 = 1
f o g(-2) = 1
a. (g o f)(x) = g(2x²+1)
(g o f)(x) = 2x²+1 + 2 = 2x²+3
A. (g•f)(x) = x + 2
= (2xkuadrat + 1) + 2
= 2xkuadrat + 3
B. (f•g)(x) = 2x(kuadrat) + 1
= 2 (x + 2)kuadrat + 1
= 2 (xkuadrat + 4x + 4) + 1
= 2xkuadrat + 8x + 8 + 1
= 2xkuadrat + 8x + 9
C. (g•f)(1) = 2xkuadrat + 3
= 2(1) + 3
= 5
D. (f•g)(-2) = 2xkuadrat + 8x + 9
= 2(-2)kuadrat + 8(-2) + 9
= 2(4) - 16 + 9
= 8 - 7 = 1
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c. (g o f)(1) = g(f(1))
f(1) = 2.1²+1 = 3
g(f(1)) = g(3)
g(3) = 3+2 = 5
(g o f)(1) = 5
d. (f o g)(-2) = f(g(-2))
g(-2) = -2+2 = 0
f(g(-2)) = f(0)
f(0) = 2.0²+1 = 1
f o g(-2) = 1
a. (g o f)(x) = g(2x²+1)
(g o f)(x) = 2x²+1 + 2 = 2x²+3
A. (g•f)(x) = x + 2
= (2xkuadrat + 1) + 2
= 2xkuadrat + 3
B. (f•g)(x) = 2x(kuadrat) + 1
= 2 (x + 2)kuadrat + 1
= 2 (xkuadrat + 4x + 4) + 1
= 2xkuadrat + 8x + 8 + 1
= 2xkuadrat + 8x + 9
C. (g•f)(1) = 2xkuadrat + 3
= 2(1) + 3
= 5
D. (f•g)(-2) = 2xkuadrat + 8x + 9
= 2(-2)kuadrat + 8(-2) + 9
= 2(4) - 16 + 9
= 8 - 7 = 1