The functions f and g are defined as f(x)=x-2.9(x)=-/x+ 7 a) Find the domain of

Question

The functions f and g are defined as f(x)=x-2.9(x)=-/x+ 7 a) Find the domain of f, g, f+g, f-g, fg, ff, -, and b) Find (f+ g)(x), (f-g)(x), (fg)(x), (ff)(x),(x), and(x). a) The domain of fis (Type your answer in interval notation.) The domain of g is (Type your answer in interval notation.) The domain of f+g is (Type your answer in interval notation.) The domain of f-g is (Type your answer in interval notation.) The domain of fg is (Type your answer in interval notation.) The domain of ff is (Type your answer in interval notation.)

Explanation / Answer

Dear Student Thank you for using Chegg !! Given f(x) = x - 2 g(x) = sqrt( x + 7) a) Domain of f(x)= X can take all real values from - Infinity to + infinity Domain of g(x)= x can take all real values greater than -7 i.e. [-7,Infinity) Domain of f(x)+ g(x) = x can take all real values greater than -7 i.e. [-7,Infinity) Domain of f(x)- g(x) = x can take all real values greater than -7 i.e. [-7,Infinity) Domain of fg = fg = sqrt(x + 7) -2 Domain of fg = x can take all real values greater than -7 i.e. [-7,Infinity) Domain of ff = X can take all real values from - Infinity to + infinity Domain of f/g = x can take all real values greater than -7 i.e. (-7,Infinity) Domain of g/f = x can take all real values greater than -7 excluding 2 i.e. [-7,2) U (2, Infinity) f+g(x) = x - 2 + sqrt (x + 7) f-g(x) = x - 2 - sqrt (x + 7) fg(x) = sqrt(x + 7) -2 ff(x) = x - 2 - 2 = x - 4 f / g = (x - 2) / sqrt (X + 7) g / f = sqrt (x + 7) / (x - 2) Solution

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