Answer:
3
Step-by-step explanation:
g(x) = f(x) + k, is true for all values of x.
At x = 0, f(x) = 2
At x = 0, g(x) = 5
Therefore, at x = 0
=> g(x) = f(x) + k
=> 5 = 2 + k
=> 3 = k
Since, the given relation is true for all real values of x, k is independent of x. Thus k = 3, for every value of x
Answer:
ab = 144
Step-by-step explanation:
Assuming you mean a² + b² = 612, then
(a + b)² = a² + 2ab + b² , that is
30² = a² + 2ab + b² , so
a² + 2ab + b² = 900
a² + b² + 2ab = 900 ← substitute a² + b² = 612
612 + 2ab = 900 ( subtract 612 from both sides )
2ab = 288 ( divide both sides by 2 )
ab = 144
