Add Functions
f(x) = 2x g(x) = -x + 5
(f + g)(x)
x + 5
f(x) = 2x g(x) = -x + 5
(f * g)(x)
-2x2 + 10x
Graphs of Inverse Functions, f-1, are symmetrical about?
the line y = x
f(x) = 2x - 5 g(x) = 4x
[f@g](x) = f[g(x)]
8x - 5
What fraternity did Mr.B belong to in college?
sum Pi
f(x) = 5x g(x) = -2x + 1
f [g(-2)]
25
f(x) = 2x g(x) = -x + 5
(f - g)(x)
3x - 5
f(x) = 2x g(x) = -x + 5
(f/(g))(x)
(2x)/(-x+5), x ne5
If A & B are inverses, and A = {(1,5), (2,6), (3,7)}
what does B = { ? }
B = {(5,1), (6,2), (7,3)}
f(x) = 2x - 5 g(x) = 4x
[g@f](x) = g[f(x)]
8x - 20
How much did the first car cost Mr. B to purchase back in 1966?
$50
g(x) = -2x + 1 f(x) = 5x
g[f(-5)]
51
f(x) = x2 - 5 g(x) = -x + 8
(f + g)(x)
x2 - x + 3
f(x) = x2 - 5 g(x) = -x + 8
(f * g)(x)
-x3 +8x2 + 5x - 40
f(x) = 2x - 5
f-1(x) = ?
f-1 =
(x+5)/(2)
f(x) = x2 + 2 g(x) = x - 6
[g@f](x) = g[f(x)]
x2 - 4
What was the model name of the car Mr. B drove in college (1969 - 1973)?
AMC Javelin
f(x) = 5x h(x) = x2 + 6x + 8
f [h(a + 1)]
5a2 + 40a + 80
f(x) = x2 - 5 g(x) = -x + 8
(f - g)(x)
x2 + x - 13
f(x) = x2 - 5 g(x) = -x + 8
(f/(g))(x)
(x^2-5)/(-x+8), x ne8
f(x) = x2 + 1. Find f-1
f-1 =
f(x) = x2 + 3 g(x) = 3x - 2
[g@f](x) = g[f(x)]
3x2 + 7
What University did Mr. B graduate from?
Drexel University
f(x) = 5x h(x) = x2 + 6x + 8
h [f(1/5)]
15
f(x) = 5x g(x) = -2x + 1
f [g(-2)]
25
f(x) = x2 + x - 12 g(x) = x - 3
((f)/(g))(x)
x + 4
Give an example of a function that is its own inverse.
y = x or y = -x
g(x) = x - 12 h(x) = 3x2
Solve; [g(h(x)] = 0
3x2 - 12 = 0
3(x2 - 4) = 0
3(x + 2)(x - 2) = 0; then, x = 2; x = -2
How many states did Mr. B live in prior to moving to BA OK in 1981?
3 states
NJ, KY, NY
f(x) = x + 2 g(x) = -4x + 3 h(x) = x2 - 2x + 1
[(f + g) * h](1)
0
(f+g)(x) = -3x + 5
(f+g)*h = (-3x+5)(x2 -2x + 1) =
-3x3 +11x2 -13x +5 = -3 +11 -13 +5 = 0