Consider the following functions. f1(x) = 3 + x, f2(x) = x, f3(x) = x2 g(x) = c,f,(x) + czf2(x) + Czf3(x) %3D Solve for c,, c2, and c, so that g(x) = 0 on the interval (-∞, 0). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {C, ©z, C3} = {| Determine whether f,, f,, f, are linearly independent on the interval (-0, 0). linearly dependent linearly independent

Q: F f(x) = x2 - 9 & g(x) = 2x- 5 then find the solution for (fog)x) <0 %3D

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Q: h(x): = 2x and g(x) = x", find h(g(x)). Dô hót simipiny. O h(g(x)) = 2xa² O h(g(x)) = h(2x²) O…

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Q: Find the equation of the quadratic function f that has its vertex at (3, 5) and contains the point…

A: Given: vertex at 3,5 and it contain the point 2,3

Q: Two new DVDS, a horror film and a comedy film, are released in the same week. The weekly number N of…

A: Solve for the equal rental week

Q: Find f(x) and g(x) such that h(x) = (fog)(x). 4 h(x) = (6x+3)* Choose the correct pair of functions.…

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Q: Find f (x) for f(x)=-- O f-¹(x) = -5x2 O = f-¹(x) 2 5x+3 O f-¹(x)= 3x 2 O f-¹(x) = 5x-3 -2x 5x-3…

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Q: Two balloons, one red and one green are released from a platform at t=0. Each balloon goes up for a…

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Q: A town is endowed with an oil reserve. The total stock of oil from the reserve is 110 barrels. The…

A: Given that, A town is endowed with an oil reserve. The total stock of oil from the reserve is 110…

Q: Let f(x) = V3x + 9 and g(x) = 2x+ 6 find fog(x) and gof (x).

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Q: f(x)=3 x2 + 12 x - 9 and g(x)= and h(x)=9* f (h (-1/2 ) ) = |-5

A: Given f(x) = 3x2+12x-9 g(x) = x-1 h(x) = 9x

Q: Let f(x) = 7x – 4 and g(x) = x2 – 4x + 5. Then %3D (f o g)(x) (go f)(x) = %3D

A: Given : fx = 7x - 4gx = x2 -4x + 5

Q: If h(x) = 4x – 3, what is an equation for h-1(x)? O A. h-1(x) = 3x + 4 O B. h-1(x) = 3x – 4 O C.…

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