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81.

If f(x) = 2x - x², then what is value of f(x + 2) + f(x - 2) = ? at x = 0

[1, 3]

As we know the range of the function cosx for any value of x is [- 1, 1]

As here in the question the given function is f(x) = $\cos^{- 1} (x - 2)$

So the domain of f(x) is

$- 1 \leq x - 2 \leq 1$

$1 \leq x \leq 3$

So, the domain of the function f(x) = cos^-1(x – 2) is [1, 3]

83.

Let y = 3x²+ 2. If x changes from 10 to 10.1, then what is the total change in y ?

84.

What is the minimum value of |x – 1|, where x ∈ R ?

85.

If f(x) = 3x² – 5x + p and f(0) and f(1) are opposite in sign, then which of the following is correct ?