# Operations with Functions

### Problems

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

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

Problem : If f (x) = x 2 - 6 and g(x) = 3x + 7 , what is the value of:
a) (f + g)(x) ?
b) fg(x) ?
c) f o g(x) ?
d) g o f (x) .

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