3. MATH275Lab3 - Questions and answers PDF

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MATH 275 LAB # 3 1. Let hx  x2  2x  3 f x. Determine h 1 given that f 1  4, and f  1   60. x3 . Determine g  2  given that f  2   2 3 , and f x

2. Let gx 

f  2   3 2  3  1. 3. Let f and g be functions such that f 3  7, f  3  2 , g4   3 , and g  4  1. 

Determine  f  g 4. 4. Let f be functions such that f 1   2 , f  1  9 , and f  2  3. Determine 



a  f 2 1

 f  f  1

5. Let gx   f x3 6. Determine g  2, given that f 8   1 , and f  8  2. 6. Let f x 

20x  1 , find f  x and simplify your answer. 2x  1 10

7. Find f  4 if

4h 2 f 4  f 4  h .  h 2h 4  h

8. Determine lim h0

9. Determine lim x2

10. Let y 

f 1  h  f 1 if f x  x 5  10x 3  1 h f x  f 2 if f x  x2

3

x2  14  6 3 x 2  8 . Compute

14  3x . dy at x  3. dx

ANSWERS 1. 240

4. a  36 , b 27 7.  1 16 10. 9

2. 1

5.  144 8.  25

3.  2

6. 9.  1 4

360x 2x  111

MATH 275 LAB # 3...