Given f(x) = x and g(x) = √x, find the following expressions: (a) (f o g)(4) (b) (g o f)(2) (c) (f o f)(1) (d) (g o g)(0) Enter your answer in each of the answer boxes. Case Study: Math Problems
Added by Matthew M.
Step 1
(a) (f o g)(4) = f(g(4)) = f(2*4+1) = f(9) = 9+3 = 12 (b) (g o f)(2) = g(f(2)) = g(2+1) = g(3) = 3^2-1 = 8 (c) (f o f)(1) = f(f(1)) = f(1+1) = f(2) = 2+3 = 5 (g o g)0 = g(g(0)) = g(0+1) = g(1) = 1^2-1 = 0 (d) (g o f)(4) = g(f(4)) = g(4+1) = g(5) = 2*5+1 = 11 Show more…
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