find f[g(x)] - f(x)

Step-by-step explanation:

hello :

Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x2

Find F{G[H(2)]}

calculate : H(2) =2² =4

G[H(2)] =G[4]= 3(4)+2 =14

F{G[H(2)]} = F{14}=2(14) =28

5

Step-by-step explanation:

The question ask for G[H(1)] so we have to find the H(1) first and it doesn't ask for anything about the F(x) so we don't have to worry about it. I dont know if H(x) = x*2 or x^2 but i'll consider it as x^2.

H(1) = (1)^2 Plug in 1 for x

H(1) = 1

since we find H(1) = 1 we just put it as G(1) because its same as G[H(1)]

G(1) = 3x + 2

G(1) = 3(1) +2 =5

G(1) = G[H(1)] = 5

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