Question

In this equation , A^B means A raised to the power B. If f(x)= ax^4 + bx^4 + x + 5.
If f(-3) = 2 then f(3) = ?; In this equation , A^B means A raised to the power B. If f(x)= ax^4 + bx^4 + x + 5.; If f(-3) = 2 then f(3) = ?

Answer 1

I the answer can be specified as....

Answer 2

Answer:

The value of f(3) is 8.

Step-by-step explanation:

Given function,

$f(x)= ax^4 + bx^4 + x + 5$

$=(a+b)x^4 + x + 5$

For x = -3,

$f(-3)= (a + b)(-3)^4 + (-3) + 5$

$=81(a+b) -3+5$

$=81(a+b)+2$

We have, f(-3) = 2,

$\implies 2 = 81(a+b) + 2$

$0=81(a+b)$

$\implies a+b = 0$

Now, for x = 3,

$f(3)= (a + b)(3)^4 + (3) + 5=0(81) + 3 + 5 = 8$