1.Solve the following quadratic equations by factoring. [Give exact answers (in

Question

1.Solve the following quadratic equations by factoring. [Give exact answers (in form of fraction if needed). Write your answers in ascending order. In the case of a double zero put the same answers in both blanks.]

 9x^2=64x+64

x=_____________or x=___________

2.Solve using the quadratic formula. [Round your answers to 3 decimal places. Write your answers in ascending order. In the case of a double zero put the same answers in both blanks. If there are no real solutionstype NR in both blanks.]

a. 8(x^2+1)=x+7

x=___________ or x=_______

b. (3x-1)(x+2)=4

x=__________ or x=_____________

3. Let  f(x)=4x^5+x and g(x)=x^2-1

 Construct the following functions.

a. f(x)-g(x)

b. f(x)+g(x)

4. F(x)=7x+6 and G(x)=x-6/x+7

a.F(G(6))=_________

b. G(F(-2))=_______

c. F(G(7))=_____

d. F(F(0))=______

5. given F(x)=8x+7 and G(x)=x-7/x+8

find (F*G)(x)

6. given F(x)=5x-3 and g(x)=(x+2)^2 find

a. (F*G)(x)=_______________

b. (G*F)(x)=_______________=

7. For the given function Q fing Q^-1 and then fing Q(6) and Q^-1(6)

Q(x)=5/6x-14

a. Q^-1(x)=________________(equation)

b. Q(6)=______________

c. Q^-1(6)=_____________

ANY HELP WOULD BE APPRECIATED.THAX

Explanation / Answer

9x^(2)=64x+64 Since 64x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 64x from both sides. 9x^(2)-64x=64 To set the left-hand side of the equation equal to 0, move all the expressions to the left-hand side. 9x^(2)-64x-64=0 For a polynomial of the form ax^(2)+bx+c, find two factors of a*c (-576) that add up to b (-64).In this problem (8)/(9)*-8=-(64)/(9) (which is (c)/(a)) and (8)/(9)-8=-(64)/(9) (which is ((b)/(a)) , so insert (8)/(9) as the right hand term of one factor and -8 as the right-hand term of the other factor. (x+(8)/(9))(x-8)=0 Remove the fraction by multiplying the first term of the factor by the denominator of the second term. (9x+8)(x-8)=0 Set each of the factors of the left-hand side of the equation equal to 0. 9x+8=0_x-8=0 Since 8 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 8 from both sides. 9x=-8_x-8=0 Divide each term in the equation by 9. (9x)/(9)=-(8)/(9)_x-8=0 Simplify the left-hand side of the equation by canceling the common factors. x=-(8/9)_x-8=0 Set each of the factors of the left-hand side of the equation equal to 0. x=-(8/9)_x-8=0 Since -8 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 8 to both sides. x=-(8/9)_x=8 The complete solution is the set of the individual solutions. x=-(8/9),x=8

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