Consider the following functions. f1(x) = 0, f2(x) = x, f3(x) = ex g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, and c3 so that g(x) = 0 on the interval (−∞, ∞). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {c1, c2, c3} =

Q: Show that the equation f(x) =x+3x-1%=Ø %3D has at least one solution,

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A: (g∘f)(x) = g(f(x))

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A: Given,f(x)+g(x)=3x+2g(x)=x-1f(x)=?

Q: 2. Use the functions f(x) = x + 4 and g(x) = 2x³ to find g-¹ o f-¹

A: Given Functions are as follows

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Q: 1. Find the natural domain f(x) = 3 √2x+1

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Q: Find f-1 (x) for f(x) = 7x + 4. O 1-²=-²/x-1/ O f¹(x) = -7x+4 O---- O f-¹(x) = -7 x - 4

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