The complete set of values of for which the function for all is

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The complete set of values of

a

for which the function

f(x)=\tan^{-1}(x^2-18x+a)>0

for all

x\in\mathbb{R}

is (1)

(81,\infty)

(2)

[81,\infty)

(3)

(-\infty,81)

(4)

(-\infty,81]

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