Let fx x2 5 and gx 4 x Find a formula for hx fgx gfx i

Let f(x) = x^2 - 5 and g(x) = 4 - x. Find a formula for h(x) = f{g{x)) + g{f{x)) in terms of x. h(x) =

Solution

f(x)= x2-5 g(x)= 4-x

f(g(x))= f( 4-x)= (4-x)2-5= x2-8x+11

g(f(x))= g(x2-5) = 4-(x2-5)= 9-x2

h(x)= f(g(x))+g(f(x)) = x2-8x+11 +9-x2= 20-8x

 Let f(x) = x^2 - 5 and g(x) = 4 - x. Find a formula for h(x) = f{g{x)) + g{f{x)) in terms of x. h(x) =Solutionf(x)= x2-5 g(x)= 4-x f(g(x))= f( 4-x)= (4-x)2-5=

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