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ax^4-bx^2+x+5 and f(-3)=2 then f(3)=?
Read Solution (Total 17)
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- f(-3)=a(-3)^4-b(-3)^2-3+5
2=81a-9b+2
81a-9b=0
now,
f(3)=81a-9b+3+5
f(3)=8[since 81a-9b=0] - 10 years agoHelpfull: Yes(15) No(0)
- F (-3)=81a-9b+2
2=81a-9b+2
0=81a-9b
F (3)=81a-9b+8
=0+8:8 - 10 years agoHelpfull: Yes(2) No(0)
- ax^4 + bx^2 + x +5
here the power 4 and 2 has no effect of + or - in 3
but value of x will change
in f(-3) = a(-3)^2 + b(-3)^2 + (-3) + 5 = 2;
except the (-3) all will be unchanged when x will be x = 3
so at the place of -3+5=2
there will be 3+5 = 8 - 10 years agoHelpfull: Yes(1) No(1)
- 8;
ax^4-bx^2=0 for x=-3,+3
then f(3)=3+5=8 - 10 years agoHelpfull: Yes(1) No(1)
- f(-3)=2 given
a(-3)^4-b(-3)^2-3+5
f(-3)=81a+9b+2
2 = 81a+9b+2
cancel 2 on both sides
81a+9b=0
f(3)=a(3)^4-b(3)^2+3+5
= 81a+9b+8
=0+8
=8
f(3)=8 - 8 years agoHelpfull: Yes(1) No(0)
- f(-3)=81a-9b+2
given that f(-3)=2
s0,on equating we get
81a-9b+2=2 =>9a=b
then f(3)=81a-9b=8
on substitutibg 9a=b we get
f(3)=8. - 10 years agoHelpfull: Yes(0) No(0)
- calculate f(-3) by substituting -3 in the fuction
u will get something like this...
81a-9b+2=2
so 9a=b
now substitute 3 in the function and use the above obtained relation
u will get the answer as 8 - 10 years agoHelpfull: Yes(0) No(0)
- ans is 8
- 10 years agoHelpfull: Yes(0) No(0)
- f(-3)=a(-3)^4-b(-3)^2-3+5
2=81a-9b+2
81a-9b=0
now,
f(3)=81a-9b+3+5
f(3)=0+8=8(bcoz we already know that 81a-9b=0) - 10 years agoHelpfull: Yes(0) No(0)
- ans f(3)= 2+3=5
- 10 years agoHelpfull: Yes(0) No(1)
- f(-3)=81a-9b-3+5
81a-9b+2=2
81a-9b=0
now,f(3)=81a-9b+3+5
also from above 81a-9b=0
so,f(3)=8
- 10 years agoHelpfull: Yes(0) No(0)
- f(-3)=2
So, 81a+9b+2=2
=>81a+9b=0
f(3)=81+9b+8
=0+8
=8 - 10 years agoHelpfull: Yes(0) No(0)
- f(3)=8 is the ans.
using f(-3) we get
81a=9b
now using this vlue in
f(3)=81a-9b+3+5=0+3+5=8 is the ans
- 10 years agoHelpfull: Yes(0) No(0)
- f(x)=ax^4-bx^2+x+5.
Now, replace x by -x, we get,
f(-x)=ax^4-bx^2-x+5.
Adding these two, we get,
f(x)+f(-x)=2x
Putting x=3, we get,
f(3)+f(-3)=6
=>f(3)=6+f(-3)
=>f(3)=6+2
=>f(3)=8 - 7 years agoHelpfull: Yes(0) No(0)
- f(-3)=2 and f(3)=?
-3 -2 -1 0 1 2 3
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2 3 4 5 6 7 8 - 6 years agoHelpfull: Yes(0) No(0)
- Here, f(-3)=2
then, f(-2)=3
f(-1)=4
f(0)=5
f(1)=6
f(2)=7
f(3)=8 - 6 years agoHelpfull: Yes(0) No(1)
- f(-3)=2 ----->a(-3)^4-b(-3)^2+(-3)+5
f(3)=?------->a(3)^4-b(3)^2+(3)+5
there is difference between -3^4 and 3^4
and also -3^2 and 3^2
so f(3)=2+3 ((-x)=-3) - 6 years agoHelpfull: Yes(0) No(0)
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