Question

please answer the question in attachment with proper explanation
I will mark u brainliest​

Answer 1

Step-by-step explanation:

Put x = 1 in Fx),

Then F(x) = 1² + 4(1) + 1 = 6

Now put x = -1 in F(x),

Then F(x) = (-1)² + 4(-1) + 1 = -4

Hence correct option is (2) where value of x is equals to greater than 0.

Answer 2

Answer:

Answer is 3) F(x) ≥ 1 when x ≤ -4

Step-by-step explanation:

Let us take value of x = -4

Therefore, according to the 3) statement, F(x) ≥ 1 when x ≤ -4

F(x) = x² + 4x + 1

= (-4)² + 4(-4) + 1

= 16 - 16 + 1

= 1

So f(x) = 1 is x = -4

To check if x < -4.

Now, let us take the value of x as -5 (as -5 < -4)

then, f(x) = -5² + (4 × -5) + 1

= 25 - 20 + 1

= 6

So f(x) > 1 is x < -4

Therefore,  the answer is justified that F(x) ≥ 1 when x ≤ -4.