Use the given graph to find f g3f3g3 330 fog1fg1 f23 g11 Wri
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
