Functions and Composite Functions

f(x)

100

f(x) = x + 2 

f(4) =

(f4) = 6

200

f(x) = x + 2 

f(-2) =

f(-2) = 0

300

f(x) = x + 2

g(x) = 2^x

f(g(x) = 

f(g(x)) = 2^x + 2

400

f(x) = x + 2

-f(4) = 

-f(4) = -6

500

f(x) = x + 2

b(x) = 9

f(b(x)) = 

f(b(x)) = 11

h(x)

100

h(x) = x² - 2x

h(5) = 

h(5) = 15

200

h(x) = x² - 2x

h(-2) = 

h(-2) = 8

300

h(x) = x² - 2x

a(x) = |-3x|

h(a(1)) =

h(a(1)) = 3

a(1) = |-3 * 1| = |-3| = 3

h(3) = 9 - 6 = 3

400

h(x) = x² - 2x

h(-2) = 

h(-2) = 10

500

h(x) = x² - 2x

b(x) = 9

b(h(4)) = 

b(f(x)) = 9

g(x)

100

g(x) = 2^x

g(0) = 

g(0) = 1

200

g(x) = 2^x

f(x) = x + 2

g(f(1)) = 

g(f(1)) = 2^3 = 8

300

g(x) = 2^x

g(4) = 

g(4) = 16

400

g(x) = 2^x

g(b(x)) = 

g(b(x)) = 

500

g(x) = 2^x

g(-1) = 

g(-1) = 1/2

a(x)

100

a(x) = |-3x|

a(2) = 

a(2) = 6

200

a(x) = |-3x|

g(x) = 2^x

a(g(2)) = 

a(g(2)) = 12

300

a(x) = |-3x|

a(-3) = 

a(-3) = 9

400

a(x) = |-3x|

f(x) = x + 2

a(f(-5)) = 

a(f(-5)) = 9

500

a(x) = |-3x|

a(10) = 

a(10) = 30

b(x)

100

b(x) = 9

b(0.3444) =

b(0.3444) = 9

200

b(x) = 9

f(x) = x + 2

b(f(2)) = 

b(f(2)) = 9

300

b(x) = 9

a(b(2)) = 

a(b(2)) = 27

400

b(x) = 9

b(mister) = 

b(mister) = 9

500

b(x) = 9

h(x) = x² - 2x

b(h(1022)) = 

b(h(1022)) = 9