Functions Worksheet, Slides of Algebra

Functions Worksheet. Domain Range and Function Notation. 1. Find the domain a. f (x) = x − 4 x −2 b. g(x) = ... Algebra with Functions and Composition.

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2022/2023

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bg1
Functions)Worksheet)
Domain)Range)and)Function)Notation)
1.#Find#the#domain#
####a.####
f(x)=x4
x2
##################b.##
g(x)=x2+5
x+1
###################c.##
h(x)=x
x29
#
#
#
#
#
2.##Let##
f(x)=2x1
#and###
g(x)=x24
#find#
####a.#
f(0)
# # ###################b.#
f(1)
# ## ####################c.#
f(1)
# #
#
#
####d.#
f(a)
#########e.#
# # ####################f.#
g(2)
## ##############
##
#
####g.#
g(3)
##########h.#
g(t)
############i.#
f(a+5)
# #
#
#
j.#
f(x+h)
# # ############k.#
g(a1)
############ # ##########l.#
g(f(x))
#
#
#
#
3.##If#
f(x)=3x5
,#find##
f(x)f(a)
xa
#
#
#
pf3

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Functions Worksheet

Domain Range and Function Notation

  1. Find the domain a. € f ( x ) = x − 4 x − 2 b. € g ( x ) = x 2
  • 5 x + 1 c. € h ( x ) = x x^2 − 9
  1. Let € f ( x ) = 2 x − 1 and € g ( x ) = x 2 − 4 find a. € f (0) b. € f ( 1 ) c. € f (− 1 ) d. € f ( a ) e. € g (0) f. € g (−2) g. € g ( 3 ) h. € g ( t ) i. € f ( a + 5 ) j. € f ( x + h ) k. € g ( a − 1 ) l. € g ( f ( x ))
  2. If € f ( x ) = 3 x − 5 , find € f ( x ) − f ( a ) xa
  1. If € f ( x ) = 3 x − 5 , find € f ( x + h ) − f ( x ) h Algebra with Functions and Composition
  2. If € f ( x ) = 4 x^2 + 3 x + 2 and € g ( x ) = 2 x^2 − 5 x − 6 find f+g, f g, fg, and f/g
  3. Let € f ( x ) = 4 x − 3 , € g ( x ) = 4 x 2 − 7 x + 3 and € h ( x ) = x − 1. Find € ( f + g )( 2 ) , € ( fh )(− 1 ) , € ( fg )(0) and € ( g / f )( 5 )
  4. Let € f ( x ) = 4 x − 3 , € g ( x ) = 4 x 2 − 7 x + 3 and € h ( x ) = x − 1. Find € f + g,fh , € fg, and € g / f.