(f + g)(x)
(f - g)(x)
Notation
f(g(x))
g(f(x))
(f*g)(x)
(f/g)(x)
Sample Test Qs and IXLs
100

f(x) = 2x and g(x) = 3

(f + g)(x)=?

What is (f+g) = 2x +3 ?

100

This is how you write "f of x".

What is f(x) ?

100

f(x) = 3x and g(x) = 4 

f(g(x))= 

What is f(g(x)) = 12 ?

100

f(x) = 4x and g(x) = 2x 

(f * g)(x) = 

What is (f * g)(x) = 8x² ?

100

3x3(6x2) + 4x5

22x5

To practice combining like terms, search ZXX on IXL.

To practice exponents, search L2J on IXL.

200

f(x) = 13x and g(x) = 4x 

(f-g) = 

What is (f-g) = 9x ?

200

This is how you write "f of g of x" using *parentheses*

What is f(g(x)) ?

200

f(x) = -2x + 1 and g(x) = 5x 

g(f(x))= ?

What is g(f(x)) = -10x + 5 ?

200

f(x) = 4x and g(x) = 2x 

(f/g)(x) = 

What is (f/g)(x) = 2 ?

200

f(x) = 3x2 - 7 and g(x) = -5x2 + 6

(f-g)(x) = 

(f-g)(x) = 3x2 - 7 - (-5x2 + 6) = 8x2 - 13

To practice search QQD on IXL

300

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

(f-g)(x) = 

What is (f-g)(x) = 6x+2 ?

300

This is *another way* to write "f composed with g of x"

What is (f o g)(x) ?

300

f(x) = 3x and g(x) = 2x + 5 

f(g(x))= 

What is f(g(x)) = 6x + 15 ?

300

f(x) = 3x + 5 and g(x) = 2x + 6 

(f*g) = 

What is (f*g)(x) = 6x² +28x + 30 ?

300
(x+5)(4x-7)
4x+ 13x - 35

For practice, search M7Q on IXL

400

f(x) = 4x + 5 and g(x) = 2x + 8 

(f+g)(x)= 

What is (f+g) = 6x + 13 ?

400

The difference between f(g(x)) and g(f(x)).

What is f(g(x)) means you put g into f everywhere there is an x and g(f(x)) means you put f into g everywhere there is an x.

400

f(x) = 9x + 4  and g(x) = 5x + 2 

(f o g)(x)= ?

What is (f o g)(x) = 45x + 22 ?

400

f(x) = 25x² and g(x) = 5x 

(f/g)(x) =

What is (f/g)(x) = 5x?

400

f(x) = 3x - 1 and g(x) = 6x 

Find f(g(4))

g(4) = 24 --> f(24) = 71

To practice, search MFV on IXL.

500

f(x) = x² + 5x +3 and g(x) = 3x² + 10x - 10 

(f+g)(x) = 

What is (f+g)(x)=4x² + 15x - 7 ?

500

Explain how to find: (f+g)(x), (f-g)(x), (f*g)(x), and (f/g)(x)

What is... you take the two functions f(x) and g(x) and perform the indicated operations such as addition, subtraction, multiplication, or division.

500

f(x) = 4x + 3 and g(x) = x2 + 1 

(g o f)(x)= 

What is (g o f)(x) = 16x2 + 24x + 10 ?

500

f(x) = 5x +2 and g(x) = 3x +2 

(f*g)(x)=

What is (f*g)(x) = 15x+ 16x + 4 ?

500

f(x) = 5x + 1 and g(x) = -3x + 6

Find g(f(x))

g(f(x)) = -15x + 3 

To practice search RSP or EKJ (challenge)

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