Functions

Adding Function

100

Perform the indicated operation

(f+g)(x)

f(x)=2x+3

g(x)=4x

What is 6x+3

200

Perform the indicated operation

(f+g)(x)

f(x)=-5x+3

g(x)=-12

-5x-8

300

Perform the indicated operation

(f+g)(x)

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

g(x)=-3x+7

2x^2+7

400

Perform the indicated operation

(f+g)(x)

f(x)=4x^2+3x

g(x)=-6x^2-8

-2x^2+3x-8

500

Perform the indicated operation

(f+g)(x)

f(x)=-x+3

g(x)=-x-9

-2x-6

Subtracting Functions

100

Perform the indicated operation

(f-g)(x)

f(x)=-2x+3

g(x)=3x

-3x+3

200

Perform the indicated operation

(f-g)(x)

f(x)=7x^2+5x-2

g(x)=5x

7x^2-2

300

Perform the indicated operation

(f-g)(x)

f(x)=8x^2-3x+2

g(x)=5x-2

8x^2-8x+4

400

Perform the indicated operation

(g-f)(x)

f(x)=x^2+5x-2

g(x)=5x+10

-x^2+12

500

Perform the indicated operation

(g-g)(x)

g(x)=3x-5

zero

Multiply Functions

100

Perform the indicated operation

(f*g)(x)

f(x)=-4x+3

g(x)=2

-8x+6

200

Perform the indicated operation

(f*g)(x)

f(x)=6

g(x)=5+3x

18x+30

300

Perform the indicated operation

(f*g)(x)

f(x)=7x

g(x)=((4x^3)-3)

(28x^4)-21x

400

Perform the indicated operation

(f*g)(x)

f(x)=-3x-4

g(x)=5x+2

-15x^2-26x-8

500

Perform the indicated operation

(f*g)(x)

f(x)=2x^3-4x

g(x)=4x+2

8x^4+4x^3-16x^2-8x

Composite Functions

100

Perform the indicated operation

(f(g(x))

f(x)=-4x-5

g(x)=2x

-8x-5

200

Perform the indicated operation

(f(g(n))

f(n)=2n

g(n)= -n-4

-2n-8

300

Perform the indicated operation

(g(f(2))

f(n)=2n^2+5

g(n)=3n+2

41

400

Perform the indicated operation

(f(g(5))

f(x)=2x+3

g(x)=x-1

11

500

Perform the indicated operation

(g(f(-1))

f(x)=4x-2

g(x)=x^2

12

Inverse Functions

100

Find the Inverse:

f(x)=x-2

x+2

200

State if the given functions are inverses

f(x)=2x-7

g(x)=(x+7)/2

Yes

300

Find the Inverse:

f(x)=(4x-8)/8

2x+2

400

State if the given functions are inverses

f(x)=(1/2)x-7

g(x)=2x+14

Yes

500

Find the Inverse:

f(x)=(4/5)x-(8/5)

(5/4)x+2