Function Notation (Given Inputs)
Given: f(x) = 3x - 4 and g(x) = 2x2 - 4
Find f(2)
f(2) = 3(2) - 4
f(2) = 6 - 4
f(2) = 2
Given: f(x) = 3x - 4 and g(x) = 2x2 - 4
Find f(x) = 2
2 = 3x - 4
6 = 3x
2 = x or x = 2
Graph the following system to find the solution (Desmos)
y = 2x -3
y = 3x + 7
(-10,-23)
Given: f(x) = 3x - 4 and g(x) = 2x2 - 4
Find f(-5)
f(-5) = 3(-5) - 4
f(-5) = -15 - 4
f(-5) = -19
Given: f(x) = 3x - 4 and g(x) = 2x2 - 4
Find f(x) = -13
-13 = 3x - 4
-9 = 3x
-3 = x or x = -3
Graph the following system to find the solution (Desmos)
y = 4x - 5
y = 3x - 1
(4, 11)
Given: f(x) = 3x - 4 and g(x) = 2x2 - 4
Find f(x + 4)
f(x + 4) = 3(x + 4) - 4
f(x + 4) = 3x + 12 - 4
f(x + 4) = 3x + 8
Given: f(x) = 3x - 4 and g(x) = 2x2 - 4
Find g(x) = 14
14 = 2x2 - 4
18 = 2x2
9 = x2
x = -3 and x = 3
Graph the following system to find the solution (By Hand)
y = -(1/3)x + 3
y = 3x + 3
(0,3)
Solve the following system of equations by substitution:
y = 2x - 1
2x + 3y = -7
(-1/2 , -2)
Given: f(x) = 3x - 4 and g(x) = 2x2 - 4
Find g(5)
g(5) = 2(5)2 - 4
g(5) = 2(25) - 4
g(5) = 50 - 4
g(5) = 46
Given: f(x) = 3x - 4 and g(x) = 2x2 - 4
Find 2(f(x)) + g(1)
2(f(x)) + g(1) = 2(3x - 4) + (2(1)2 - 4)
2(f(x)) + g(1) = 6x - 8 + (2(1) - 4)
2(f(x)) + g(1) = 6x - 8 + (2 - 4)
2(f(x)) + g(1) = 6x - 8 - 2
2(f(x)) + g(1) = 6x -10
Graph the following system to find the solution (By Hand)
y = -x - 12
y = 2x + 9
(-7,-5)
Solve the following system of equations by substitution:
x + y = 16
2y = 2x + 2
(7.5 , 8.5)
Given: f(x) = 3x - 4 and g(x) = 2x2 - 4
Find g(3) - f(4)
g(3) - f(4) = 2(3)2 - 4 - (3(4) - 4)
g(3) - f(4) = 2(9) - 4 - (12 - 4)
g(3) - f(4) = 18 - 4 - 8
g(3) - f(4) = 14 - 8
g(3) - f(4) = 6
Given: f(x) = 3x - 4 and g(x) = 2x2 - 4
f(g(x))
f(g(x)) = 3(2x2 - 4) - 4
f(g(x)) = 6x2 - 12 - 4
f(g(x)) = 6x2 - 16
Graph the following system to find the solution (By Hand)
y = 2x + 5
5y - 10x = 7
No Solution
Solve the following system of equations by substitution:
4x + 4y + 16
3x - y = 4
(0 , 4)