9. If f(x) = x2 - 6x + 2 and g(x) = -2x, find a. f.g(2) b. g•f(x)
Factor out the common polynomial factor and simplify the result as much as possible. Factor further, if possible.x(x2 + 6x + 5) + 2(x2 + 6x + 5)
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
Consider the figure below. f(x) = 2x – x2 g(x) = x2 - 6x 81x) -10 (a) For the shaded region, find the points of intersection of the curves. (x, y) = ( 0,0 ) (smaller x-value) (x, y) = ( 4,-8 ) (larger x-value) (b) Form the integral that represents the area of the shaded region. dx (c) Find the area of the shaded region.
Question 9 (6 points) Simplify and state the restrictions: X? – 6x +5 2x2 -11x + 5 - 4(x² - 1) 8x2 - 4x
please answer ALL questions. thank you 1. Simplify: (5x + 3) - (4x + 1)(6 - x) (4 marks) Perform the indicated operation and simplify: -6V80 + 275- 8245 - 14 V108 2. (2√5 - 4√6) (3√3 + 8 √2) (8 marks) 3. Simplify, and state the restrictions on the variable x² - x-6x² - 2x+1 x2 - 4 x-1 8 9x +15x 3x + 5 (12 marks) Determine if the following expressions are equivalent. Justify your answer. 6x +...
Perform the indicated operation and simplify. [(x+1)/(x^2-6x+8)] / [(3)/(x^2-16)]
What is the composition(fog)(x) when f(x) = 2x+6 and g(x)=x2-1, before simplifying? a.(fog)(x)=x2-1+2x+6 b.(fog)(x)=(2x+6)2-1 c.(fog)(x)=2(x2-1)+6 d.(fog)(x)=(2x+6)(x2-1)
14. Find product: (2x +y)(2x - y) 15. Factor: 4xy +2y 6x + 3 2 16.Factor: 36x2- 4y
Given that g(x) = x2 - 2x - 7, find (gºg)(-2). (gog)(-2)= (Simplify your answer.)