Ch. 6.1-6.3 Quiz Review

Ch. 6.1

100

Find (f+g)(x)

f(x)=2x

g(x)=-4x+5

-2x+5

200

Find (f-g)(x)

f(x)=x^2

g(x)=-x+1

x^2+x-1

300

Find 

(f@g)(x)

f={(1,2),(3,4),(5,6)}

g={(0,1),(2,3),(4,5)}

{(0,2),(2,4),(4,6)}

400

Find 

(f*g)(x)

f(x)=x-2 and g(x)=2x-7

2x^2-11x+14

500

Find 

(f/g)(x)

f(x)=3x and g(x)=-2x+6

(3x)/(-2x+6),xne3

600

Find 

(f/g)(x)

f(x)=-x^2+6 and g(x)=2x^2+3x-5

(-x^2+6)/(2x^2+3x-5),xne1 or xne-5/2

700

Find 

[f@g](x)

f(x)=x+4 and g(x)=x^2+3x-10

x^2+3x-6

800

Find 

[g@f](x)

f(x)=2x^2 and g(x)=8x^2+3x

32x^4+6x^2

Ch. 6.2

100

Find the inverse of the relation.

{(-9,10),(1,-3),(8,-5)}

{(10,-9),(-3,-1),(-5,8)}

200

Find the inverse of the relation.

{(8,-1),(-8,-1),(-2,-8),(2,8)}

{(-1,8),(-1,-8),(-8,-2),(8,2)}

300

Find the inverse of the function.

f(x)=-2x+1

f^(-1)(x)=(x-1)/-2

f^(-1)(x)=-x/2+1/2

400

Find the inverse of the function.

h(x)=x^2-3

h^-1(x)=+-sqrt(x+3)

500

Determine whether the pair of functions are inverse functions. Yes or No.

f(x)=1/3x+3 and g(x)=-3x+9

Yes

600

Determine whether the pair of functions are inverse functions. Yes or No.

f(x)=4x^2 and g(x)=1/2sqrtx

Yes

Ch. 6.3

100

Identify the domain and range of the function.

f(x)=sqrt(4x)

D={x|x>=0} and R={f(x)|f(x)>=0}

200

Identify the domain and range of the function.

f(x)=sqrt(x+8)-2

D={x|x>=-8} and R={f(x)|f(x)>=-2}

300

State the Vertical and Horizontal Translation of the function.

f(x)=sqrtx-2

Vertical translation, 2 units down.

No Horizontal translation.

400

State the Vertical and Horizontal Translation of the function.

f(x)=sqrt(x+3)+2

Vertical translation, 2 units up.

Horizontal translation, 3 units left