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Operations with Functions
Problems
Problem 2.1:
If f (x) = x2 + 3x + 2 and g(x) = 5x + 3, what is the value of:
a) 3f (1)?
b) 3f (x)?
c)  g(x)?
d) 2f (x) + 3g(x)?
e) 5f (x) - 3g(x)?
Problem 2.2:
If f (x) = 3x - 2 and g(x) =  , what is the value of:
a) 2f (x) + 4g(x)?
b) 3f (x) - g(x)?
c) fg(x)?
Problem 2.3:
If f (x) = 2x - 1, g(x) = 3x + 4, and h(x) = 4x, what is the value of:
a) fg(x)?
b) fh(x)?
c) gh(x)?
Problem 2.4:
If f (x) = x2 - 2 and g(x) = 2x + 1, what is the value of:
a) (f + g)(x)?
b) fg(x)?
c) fog(x)?
d) gof (x)?
Problem 2.5:
If f (x) = (x - 1)2 and g(x) = 4, what is the value of:
a) (f - g)(x)?
b) fg(x)?
c) fog(x)?
d) gof (x)?
Problem 2.6:
If f (x) = x2 - 6 and g(x) = 3x + 7, what is the value of:
a) (f + g)(x)?
b) fg(x)?
c) fog(x)?
d) gof (x).
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