Question

If $f\left( x \right) = {a^x},$ which of the following equalities hold?

Accepted Answer

$f\left( {x + 2} \right) - 2f\left( {x + 1} \right) + f\left( x \right) = {\left( {a - 1} \right)^2}f\left( x \right)$

Answer

$f\left( { - x} \right)f\left( x \right) + 1 = 0$

Answer

$f\left( {x + y} \right) = f\left( x \right) + f\left( y \right)$

Answer

$f\left( {x + 3} \right) - 2f\left( {x + 2} \right) + f\left( {x + 1} \right) = {\left( {a - 2} \right)^2}f\left( {x + 1} \right)$

JEE MATHEMATICS MCQ: FUNCTIONS

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