f(x) = 4x + 8, g g(x) = 9x + 7 Find (g)(x). A) 13x^2 + 100 + 15 B) 36x^2 + 79x =

Question

f(x) = 4x + 8, g g(x) = 9x + 7 Find (g)(x). A) 13x^2 + 100 + 15 B) 36x^2 + 79x = 56 C) 36x^2 + 56 D) 36x^2 - 100x + 56 Give the equations of any vertical asymptotes. F(x) = x - 7/x^2 + 2x A) x = 2 B) x = 7 C) x = -2 D) X - 0, x = -2 Give the equation of any horizontal asympletes. g(x) = x^2 + 8x - 3/x - 3 A) y = 8 B) y = -3 C) y = 0 D) none Provide an appropriate response. For what value of c does the quadratic function f(x) = 3x^2 + 8x + c have exactly one x -integral? A) - 2/3 B) 16 C) 16/3 D) 2/3 Solve the inequality, write the solution set in integral motation. 2x^2 - 9x Greaterthanorequalto 18 A) (-x, -6) u [3/2, x] B) [- 3/2, 6] C) [-x, - 3/2] u [6, x) D) [-6, 3/2] 3x^2 + 2x

Explanation / Answer

15) (fg)(x) = f(x)g(x) = (4x+8)(9x+7) = 36x2+28x+72x+56 = 36x2+100x+56...Option D is correct

16) Equation of vertical asymptotes is given by:

x2 + 2x = 0 => x(x+2) = 0 => x=0 and x=-2...Option D is correct

17) As degree of numerator is greater than degree of denominator so no horizontal asymptote..Option D is correct

18) For x-intercept, f(x) = 0

=> 3x2+8x+c = 0 ..This is a quadratic equation and it has exactly one root only if D = b2-4ac = 0

That is D = (8)2-4(3)(c) = 0 => 64-12c = 0 => c = 64/12 = 16/3...Option C is correct

19) 2x2-9x> = 18

Consider 2x2-9x-18 = 0 => 2x2-12x+3x-18 = 0 => 2x(x-6)+3(x-6) = 0 => (2x+3)(x-6) = 0

Hence we get x=-3/2, 6

Now for (-infinity, -3/2)..let x=-2 then 2(-2)2-9(-2)-18 = 8+18-18 = 8>=0 Hence (-infinity, -3/2] is in the solution

For (-3/2,6) ..let x=0 then 2(0)-9(0)-18 = -18<0 hence (-3/2,6) is not in solution

For (6,infinity)..let x=7 then 2(49)-9(7)-18 > 0 hence [6,infinity) is in soltuion

So the solution is given by: (-oo,-3/2] U [6,oo)...Option C is correct

20) 3x2 + 7x<20

Consider 3x2+7x-20 = 0 => 3x2+12x-5x-20 = 0 => 3x(x+4)-5(x+4) = 0 => x=-4, 5/3

So For (-infinity, -4) ..let x = -5, 3(25)+7(-5)-20 = 75-35-20>0 Hence (-infinity,-4) is not in solution

For (-4,5/3)...let x=0, 3(0)+7(0)-20 <0 Hence (-4,5/3) is in soltuion

(3,infinity)..let x=4, 3(16)+7(4)-20 = 48+28-20>0 Hence (3,infinity) is not in solution

The solution is given by (-4,5/3)..Option B is correct

21) M(x) = 16x-x2 = -(x2-16x) = -(x2-16x+64-64) = -(x-8)2+64

This represent downward parabola with vertex (8, 64)

Hence x coordinate 8 in rainfall gives maximum number that is 64 mosquitoes...Option D is correct

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.