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Use the given graph to find (f +g)(3)=f(3)+g(3) -3+3=0 (fog)(1)=f(g(1)) f(2)=3 g^-1(1) Write x

Solution

7 a) (f +g)(3) = f(3) +g(3) = -3 +3 =0

Solution correct

b) (f o g)(1)

Look for x = g(1) in f(x) graph. g(1) = 2. So,

(f o g)(1) = f(2) = -1

c) g^-1(1)

So, first look for x such that g(x) =1;x =2

So, g^-1(1) = x for which g(x) = 1

So, g^-1(1) =2

8) a ) x < 6

Interval notation ( - infinity , 2 )

b) [ -7 , infinity)

Inequality notation: x<= -7

 Use the given graph to find (f +g)(3)=f(3)+g(3) -3+3=0 (fog)(1)=f(g(1)) f(2)=3 g^-1(1) Write xSolution7 a) (f +g)(3) = f(3) +g(3) = -3 +3 =0 Solution correct b

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