Given: F (x) = 3x 2 + 1, G (x) = 2x - 3, H (x) = x

Find: F (3) + G (4) - 2H (5) =

question 2

Given: F (x) = 5x - 6 and G (x) = x - 4 (FoG) - 1 =

F (x) = 3x^2 + 1, G (x) = 2x - 3, H (x) = x

F (3) = 3 (3) ^2 + 1 = 27 + 1 = 28

G (4) = 2 (4) - 3 = 8 - 3 = 5

2H (5) = 2 (5) = 10

F (3) + G (4) - 2H (5) = 28 + 5 - 10

F (3) + G (4) - 2H (5) = 23

question 2

Given: F (x) = 5x - 6 and G (x) = x - 4

(FoG) (x) = F (G (x)) = 5 (x-4) - 6

= 5x - 20 - 6

= 5x - 26

Inverse

x = 5y - 26

5y = x + 26

y = x/5 + 26/5

So

(FoG) - 1 (x) = x/5 + 26/5

The answer above is correct. (x+26) / 5. Solve

Answer: (x+26) / 5

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