Jeopardy²

Inverse Functions

100

State if the given function is an inverse function

g(x) = 4 − 3 2 x 

f (x) = 1 2 x + 3

No

200

find the inverse of this function

h(x) = 3 x − 3

 h^-1 (x) = (x + 3) 3

300

find the inverse of this function

g(x) = 7x + 18 

              /2

g ^-1(x) = 2x − 18 

                   /7

400

find the inverse of this function

f (x) = x + 3

f ^-1(x) = x − 3

500

find the inversion of this function

f (x) = 4x

f ^-1(x) = x/4

Log Equations

100

solve this equation 

log 5x = log (2x + 9)

{3}

200

solve this log equation

log (4k − 5) = log (2k − 1)

 {2}

300

solve this log equation

2log 7 −2r = 0

{− 1/2}

400

solve this log equation

log −m + 2 = 4

{−100}

500

solve this log equation

ln 2 − ln (3x + 2) = 1 { 2 − 2e 3e }

{ 2 − 2e}

      /3e 

Square Root Equations

100

solve this square root equation

3 = /b − 1

{10}

200

solve this square root equation

/2m − 6 = /3m − 14

{8}

300

solve this square root equation

/9 − b = /1 − 9b

{−1}

400

solve this square root equation

/56 − r = r  

{7}

500

solve this square root equation

2 = 3b − 2 − 10 − b

{6}

Composition of Functions

100

Using f(x) = 4x + 3 and g(x) = x - 2,find:

f(g(5))  

15

200

Using f(x) = 4x + 3 and g(x) = x - 2,find:

f(f(7))

127

300

 Using f(x) = 6x² and g(x) = 14x + 4 find: 

(f ∘ g)(x)

1176x2 + 672x + 96

400

Using f(x) = 5x + 4 and g(x) = x - 3,find: 

f(f(8))

224

500

Using f(x) = 8x² and g(x) = 2x + 8 find: 

(f ∘ g)(x)

32x2 + 256x + 512

simplifying radicals

100

/125n

5/5n

200

/100v³

10v/v

300

/200m⁴n

10m²/2n

400

/384x⁴y³

8x² ⋅ y /6y

500

−4/216x²y²z

−24x ⋅ y/6z