Let f: RR, g: RR, and h: RR be functions defined by f(x) = x, g(x)=(x+1),...

 

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Let f: RR, g: RR, and h: RR be functions defined by f(x) = x, g(x)=(x+1), and h(x)=3x+1. For each of the following compositions, write the function b RR. : (a) b(x) = hog (b) b(x) = goh (c) b(x) = fogoh Problem 9: (a) Calculate an for n = 4, 5 given the following a = +1 (c) Write j! in notation. Problem 10: Given the following matrices: = -1 0 2 13-2 4 2 3 [68 5 3 C 2-4 3 1 2 5 -2 B=4-27 (a) Compute 4A + B (b) Compute CT Given the following matrices: 3 9 13] A = B 1 3 (c) Calculate BA (d) Calculate AB Let f: RR, g: RR, and h: RR be functions defined by f(x) = x, g(x)=(x+1), and h(x)=3x+1. For each of the following compositions, write the function b RR. : (a) b(x) = hog (b) b(x) = goh (c) b(x) = fogoh Problem 9: (a) Calculate an for n = 4, 5 given the following a = +1 (c) Write j! in notation. Problem 10: Given the following matrices: = -1 0 2 13-2 4 2 3 [68 5 3 C 2-4 3 1 2 5 -2 B=4-27 (a) Compute 4A + B (b) Compute CT Given the following matrices: 3 9 13] A = B 1 3 (c) Calculate BA (d) Calculate AB