Show:
(f + g)(x)
(f - g)(x)
Notation
f(g(x))
g(f(x))
Distance/Midpoint
(f*g)(x)
(f/g)(x)
100
f(x) = 2x g(x) = 3 (f + g)(x)=?
What is (f+g) = 2x +3.
100
f of x
What is f(x).
100
f(x) = 3x g(x) = 4 f(g(x))= ?
What is f(g(x)) = 12.
100

Find the midpoint of the line segment with the given endpoints.

(6, 6), (8, 1)


(7, 3.5)

100
f(x) = 4x g(x) = 2x (f * g)(x) = ?
What is (f * g)(x) = 8x²
200
f(x) = 13x g(x) = 4x (f-g) = ?
What is (f-g) = 9x.
200
g of x equals two x.
What is g(x) = 2x.
200
f(x) = -2 g(x) = 5x g(f(x))= ?
What is g(f(x)) = -10.
200

Find the midpoint of the line segment with the given endpoints.

(5, 5), (-1, -3) 


(2, 1)

200
f(x) = 4x g(x) = 2x (f/g)(x) = ?
What is (f/g)(x) = 2.
300
f(x) = 8x + 2 g(x) = 2x (f-g)(x) = ?
What is (f-g)(x)=6x+2.
300
"f composed with g of x"
What is (f o g)(x)
300
f(x) = 3x g(x) = 2x + 5 f(g(x))= ?
What is f(g(x)) = 6x + 15.
300

Find the other endpoint of the line segment with the given endpoint and midpoint.

Endpoint: (9, 0), midpoint: (2, 0)


(-5, 0)

300
f(x) = 3x + 5 g(x) = 2x + 6 (f*g) = ?
What is (f*g)(x) = 6x² +25x + 25.
400
f(x) = 4x + 5 g(x) = 2x + 8 (f+g)(x)=?
What is (f+g) = 6x + 13.
400
Explain 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 g(x) = 5x + 2 (f o g)(x)= ?
What is (f o g)(x) = 45x +18.
400


Find the midpoint of the line segment joining (-7, 1)

and (-2, 5).


(-4.5, 3)

400
f(x) = 25x² + 5 g(x) = 5x (f/g)(x) = ?
What is (f/g)(x) = 5x + 1.
500
f(x) = x² + 5x +3 g(x) = 3x² + 10x - 10 (f+g)(x) = ?
What is (f+g)(x)=4x² + 15x - 7.
500
Explain the notation (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 g(x) = 2x^2 + 1 (g o f)(x)= ?
What is (g o f)(x) = 32x^2 + 48x + 19.
500

Find the distance between each pair of points.

(−3, 6), (2, 1)

7.1

500
f(x) = x² + 5x +2 g(x) = 3x +2 (f*g)(x)=?
What is (f*g)(x) = 3x^3 + 17x² + 16x + 6.