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Operations with Functions

Problems

Addition and Subtraction of Functions

Multiplication and Composition of Functions

Problem : If f (x) = 3x - 2 , what is the value of:
a) f (1)
b) f (2)
c) f (- 4)
d) f (z)
e) f (2x)
f) f (2x + 1)

a) 1
b) 4
c) -14
d) 3z - 2
e) 6x - 2
f) 6x + 1

Problem : If f (x) = 3x 2 + 4x - 9 , what is the value of:
a) f (2)
b) f (- 2)
c) f ()
d) f (4x)
e) f (6 - x)

a) 11
b) -5
c) -
d) 48x 2 + 16x - 9
e) 3x 2 - 40x + 123

Problem : If f (x) = 2x + 4 and g(x) = 4x 2 - 2x , what is the value of:
a) (f + g)(2)
b) (f + g)(- 1)
c) (f + g)(0)
d) (f + g)(x)
e) (f + g)(2x)

a) 20
b) 8
c) 4
d) 4x 2 + 4
e) 16x 2 + 4

Problem : If f (x) = x - 4 and g(x) = x + 6 , what is the value of:
a) (f + g)(3)
b) (f + g)(- 5)
c) (f + g)(x)
d) (f + g)(x + 7)

a) 8
b) -8
c) 2x + 2
d) 2x + 16

Problem : If f (x) = 4x - 9 and g(x) = 2x - 3 , what is the value of:
a) (f - g)(5)
b) (g - f )(5)
c) (f - g)(x)
d) (g - f )(x)

a) 4
b) -4
c) 2x - 6
d) -2x + 6

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