robotdude620 robotdude620

21-10-2021
Mathematics

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For f(x) = px +q and g(x) =
X-9), p70, find (fog)(x) and (g of)(x). Then determine whether (fog)(x) = (gof)(x).

For fx px q and gx X9 p70 find fogx and g ofx Then determine whether fogx gofx class=

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yzaoriginal1 yzaoriginal1

21-10-2021

Answer: f(x) = 2x

g(x) = x + 3

First let us find (fog)(x)

(fog)(x) = f(g(x)

= f(x+3)

= 2(x+3)

= 2x + 6

==> (fog)(x) = 2x + 6

Now let us find (gof)(x):

(gof)(x) = g(f(x)

= g(2x)

= 2x + 3

==> (gof)(x) = 2x + 3

Step-by-step explanation:

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