2 points) Let H be the subspace of P2 spanned by 2x2 - 6x +3, x2 -2x 1 and -2r221 (a) A basis for H is Enter a polynomial or a list of polynomials separated by commas, in terms of lower-case x . For example x+1,x-2 (b) The dimension of H is c)Is (2x2 6x +3, x2 - 2x +1, -2x2 +2x 1 a basis for P2? 2 points) Let H be the subspace of P2 spanned by 2x2 -...
Find the indicated composition of functions. f(x)= x² + 4, g(x) = 2x - 5, (fog)(x) = ? off g)(x) = 2x3 - 5x2 + 8x - 20 off g)(x) = 4x2 + 29 og)(x) = 2x2 + 3 of g)(x) = 4x2 - 20x + 29 O(g)(x) = 4x2.21
3) Write a polynomial f(x) that meets the given conditions. Answers may vary. 3) Degree 2 polynomial with zeros 212 and -222 A) S(x) = x2 + 472x+8 B) f(x) = x2-8 9 S(x) = x² + 8 D) S(x) = x2-11/2x+8 4) Degree 3 polynomial with zeros 6, 21, and -2i A) S(x) => x3 + 6x2 + 4x + 24 f(x)= x2 - 6x2 + 4x - 24 B) /(x) = x2 - 6x2 - 4x + 24...
Let f(x) = 5x2 - 4x and g(x)= x2 - x+7. Find (f+g)(x), (f – 9)(x), (fg)(x), and a (x). Give the domain of each. (f+g)(x)= (Simplify your answer.) (f-g)(x)= (Simplify your answer.) (fg)(x)= (Simplify your answer.) H)(x) = (Simplify your answer.) The domain of (f+g)(x) is (Type your answer in interval notation.) The domain of (f -9)(x) is (Type your answer in interval notation.) The domain of (fg)(x) is (Type your answer in interval notation.) The domain of “x)...
- 1 POINTS GHCOLALG11 3.6.042. Let f(x) = 2x - 5 and g(x) = 5x – 2. Find the value. (gog) (909({}) - Need Help? Read It Watch It Talk to a Tutor -/1 POINTS GHCOLALG11 3.6.044.MI. Let f(x) = 5x2 - 4 and g(x) = 6x + 6. Find the value. (go (2) (gon(2) =
4. Simplify and state the restrictions. 2x+8 4x+16 a) 3x 6x2–5x+1 b) x2-4 Х x2-x-2 x2-3x 2x2 4 1 c) x2+3x+2 + 1 x2+4x+3 11x d)- x2+3x-28 X-4
3. Solve the following systems of equations using Gaussian elimination. (a) 2x 3x2 + 2x3 = 0 (d) 2x + 4x2 2.xz 4 *- x2 + x3 = 7 X; - 2x2 · 4x3 = -1 -X, + 5x2 + 4x3 = 4 - 2x - X2 3x3 = -4
Let f(x)=2x² – 7 and let g(x) = 4x + 1. Find the given value. f(g(-3)] f(g(-3)) = (Type an integer or a decimal) Question Viewer
Let x = [X1 X2 X3], and let T:R3 → R3 be the linear transformation defined by x1 + 5x2 – x3 T(x) - X2 x1 + 2x3 Let B be the standard basis for R3 and let B' = {V1, V2, V3}, where 4 4. ---- 4 and v3 -- 4 Find the matrix of T with respect to the basis B, and then use Theorem 8.5.2 to compute the matrix of T with respect to the basis B”....
x2 + 2x – 15 Let f(x) #3 X - 3 if x = 3 Find the value of k which makes f continuous at x = 3. k3 1 Select one: O a.3 O b.8 Oc. 2 O d. 79 O e.O Å