Question
Asked Sep 30, 2019
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For f(x)=2x-4 and g(x)=x2-3, How would you find the following functions? 

a. (fog)(x)

b. (gof)(x)

c. (fog)(1)

d. (gof)(1)

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Expert Answer

Step 1

a) Find (fog)(x),

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(fog)(x)-(g(x)) -(x-3) -2 (a-3)-4 2x2-6-4 =2x2-10

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Step 2

b.  Find (gof)(x),

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(gof)(x)g(f) g(2x-4) -(2x-4)-3 = 4x2-16x +16-3 4x2-16x13

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Step 3

c. (fog)(1)

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(fog)(1)-(8(1) -2(1)-10 (gx)2 -10 =2-10

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