Answer.AI
Question
Mathematics
If the function f ( x ) = 2 x 2 + x 3 f(x)=2x^(2)+x-3, and G ( x ) = 2 x 1 3 G(x)=(2x-1)/(3). find the following function values.
  1. f ( 0 ) f(0)
  2. f ( 2 ) f(-2)
  3. f ( a + 5 ) f(a+5)
  4. G ( 0 ) G(0)
  5. G ( 7 ) G(-7)
  6. G ( 7 2 ) G((7)/(2))
See Answers
Get the Answer.AI App
Solve problem with AI
Best Answer
  1. f ( 0 ) f(0):
    f ( 0 ) = 2 ( 0 ) 2 + 0 3 = 3 f(0)=2(0)^(2)+0-3=-3
  2. f ( 2 ) f(-2):
    f ( 2 ) = 2 ( 2 ) 2 + ( 2 ) 3 = 5 f(-2)=2(-2)^(2)+(-2)-3=5
  3. f ( a + 5 ) f(a+5):
    f ( a + 5 ) = 2 ( a + 5 ) 2 + ( a + 5 ) 3 = 2 a 2 + 21 a + 52 f(a+5)=2(a+5)^(2)+(a+5)-3=2a^(2)+21 a+52
  4. G ( 0 ) G(0):
    G ( 0 ) = 2 ( 0 ) 1 3 = 1 3 G(0)=(2(0)-1)/(3)=-(1)/(3)
  5. G ( 7 ) G(-7):
    G ( 7 ) = 2 ( 7 ) 1 3 = 15 3 = 5 G(-7)=(2(-7)-1)/(3)=-(15)/(3)=-5
  6. G ( 7 2 ) G((7)/(2)):
    G ( 7 2 ) = 2 ( 7 2 ) 1 3 = 6 3 = 2 G((7)/(2))=(2((7)/(2))-1)/(3)=(6)/(3)=2
    Explanation:
  7. To find f ( 0 ) f(0), we simply substitute 0 for x in the function f ( x ) f(x) and simplify.
  8. To find f ( 2 ) f(-2), we substitute -2 for x in the function f ( x ) f(x) and simplify.
  9. To find f ( a + 5 ) f(a+5), we substitute (a+5) for x in the function f ( x ) f(x) and simplify.
  10. To find G ( 0 ) G(0), we substitute 0 for x in the function G ( x ) G(x) and simplify.
  11. To find G ( 7 ) G(-7), we substitute -7 for x in the function G ( x ) G(x) and simplify.
  12. To find G ( 7 2 ) G((7)/(2)), we substitute 7 2 (7)/(2) for x in the function G ( x ) G(x) and simplify.
You might be interested in...
Explore more...
Get the Answer.AI App
Solve problem with AI