JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

x

varies over all real numbers, the range of the function

f(x)=\frac{x^2-3 x+4}{x^2+3 x+4}

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Correct option: C

\left[\frac{1}{7}, 7\right]

Option C ([1/7, 7]) is correct because the range is found by determining the minimum and maximum values of the function using calculus.

More Questions from FUNCTIONS

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f:(-\infty, 2] \longrightarrow(-\infty, 4]

f(x)=x(4-x)

f^{-1}(x)

g(f(x))=|\sin x|

f(g(x))=(\sin \sqrt{x})^2

f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

f\left( x \right) = x - \left[ x \right]

{f^{ - 1}}\left( x \right)

f: R \rightarrow R

f(x)=x^4

f(x)=(x+1)^2-1(x \geq-1)

S=\left\{x: f(x)=f^{-1}(x)\right\}