Lesson
Composite Functions
For the
g
iven functions f and
g
, find the requested composite function value.
1) f(x) = x + 1, g(x) = 3x; Find (f โ g)(1).
2) f(x) = 4x + 2, g(x) = 4x2 + 1; Find (f โ f)(3).
3) f(x) = 7x + 8, g(x) = -2
x; Find (g โ f)(3).
4) f(x) = x - 6
x, g(x) = x2 + 9; Find (g โ f)(-2).
For the
g
iven functions f and
g
, find the requested composite function.
5) f(x) = 6x + 11, g(x) = 2x - 1; Find (f โ g)(x).
6) f(x) = 3
x - 7, g(x) = 7
8x; Find (f โ g)(x).
7) f(x) = 3
x - 2, g(x) = 2
3x; Find (f โ g)(x).
8) f(x) = x + 9, g(x) = 8x - 13; Find (f โ g)(x).
Decide whether the composite functions, f โ g and g โ f, are equal to x.
9) f(x) = x2 + 2 , g(x) = x - 2
10) f(x) = x + 4
3, g(x) = 3x - 4
11) f(x) = 1
x, g(x) = x
Find functions f and g so that f โ g = H.
12) H(x) = 3x + 1
College๎ ฑAlgebra
