MATH JEOPARDY functionsinversesradicalsWord problems potpourri

1-100 f(x)=2x 2 -2, g(x)=4x+2 What is g(f(5))?

ANSWER f(5)=2(5 2 )-2=48 g(48)=4(48)+2 g(f(5))=194

1-200 f(x)=5x 2 -3, g(x)=4x+2 what is f(g(x))?

ANSWER f(g(x))=5(4x+2) 2 -3= 5(16x 2 +16x+4)-3= 80x 2 +80x+20-3= 80x 2 +80x+17

1-300 f(x)=5x 2 -3, g(x)=4x+2 What is g(f(x))?

ANSWER (5x 2 -3)+2= 20x = 20x 2 -10

1-400 f(x)=x 2 +3, g(x)=2x-7 What is f(g(x))?

ANSWER (2x-7) 2 +3= 4x 2 -28x+49+3= 4x 2 -28x+52

1-500 f(x)=x 2 +3, g(x)=2x-7 What is g(f(x))?

ANSWER (x 2 +3)-7= 2x = 2x 2 -1

2-100 If f and f -1 are inverses, what is f(f -1 (x))?

ANSWER the composition of a function and its inverse is x. Inverse Functions Th.

2-200 what is the inverse of f(x)=5x-7 in slope- intercept form?

ANSWER y=5x-7 x=5y-7 5y=x+7 y=1/5 x +7/5

2-300 f(x)=x 3 Give an equation for the inverse.

ANSWER x=y 3 or y=x 1/3

2-400 Are f(x)=2x+3 and G(x)= 1/2x –3 inverse functions? Why or why not?

ANSWER NO: 2(1/2 x-3)+3= x-6+3= X-3 NOT x

2-500 Is the inverse of y=2x 2 -3x+6 a function? Why or why not?

ANSWER NO, the inverse of a Parabola is not a function.

3-100 Evaluate:

ANSWER

3-200

ANSWER

3-300 Estimate: To the nearest hundreth

ANSWER

3-400 Simplify:

ANSWER =

3-500 Rationalize the denominator and simplify

ANSWER 3-500

DAILY DOUBLE! DAILY DOUBLE

4-100 Use the formula to determine the horsepower p generated by an engine of a ship traveling at a speed s of 20 knots.

ANSWER 4-100

4-200 solve for V:

ANSWER 4-200

4-300 A job pays $8/hr. Write an equation for f(w), the wages made working h hours.

ANSWER f(w)=8h

4-400 If f(w)=5h shows the wages made working h hours, what does equal, and what does it mean?

ANSWER It takes 310 hours to make $1550.

4-500 Give the domain and range of if x and y are real numbers.

ANSWER domain {x :x>0} range {y :y>0}

5-100 Rationalize the denominator and simplify:

ANSWER

5-200 Simplify:

ANSWER 5-200

5-300 Find all real solutions:

ANSWER 5-300

5-400 Find all real solutions:

ANSWER No real solutions

5-500 Simplify:

ANSWER 5-500

Final Jeopardy FINAL JEOPARDYFINAL JEOPARDY

Final Jeopardy here