Question

if f(x+2)- f(x)= x^2 + 4x+4 and f(1)=9 then find the value of f(3) where f(x) is denoted as a polynomial of degree 3

Answer 1

QUESTION :–

• if f(x+2) - f(x)= x² + 4x+4 and f(1)=9 then find the value of f(3) , where f(x) is denoted as a polynomial of degree 3 .

ANSWER :–

f(3) = 18

Given :–

• f(x+2) - f(x) = x² + 4x + 4

• f(1) = 9

To find :–

Value of f(3).

SOLUTION :–

• f(1) = 9 is given , so that put x = 2 in given relation.

=> f(1+2) - f(1) = (1)² + 4(1) + 4

=> f(3) - f(1) = 1 + 4 + 4

=> f(3) - 9 = 5 + 4

=> f(3) - 9 = 9

= > f(3) = 9 + 9

=> f(3) = 18

Answer 2

Answer:

Step-by-step explanation: