iran-konkur 2015 Q112

iran-konkur · Other · konkur-riazi_1394 5 marks Composite & Inverse Functions Evaluate Composition from Algebraic Definitions
112- For which value of $a$ is the function $$f(x) = \begin{cases} \dfrac{a(1+\sqrt[5]{1-x})}{x^2 - 2x} & ; \ x > 2 \\[8pt] x - a & ; \ x \leq 2 \end{cases}$$ always continuous?
p{6cm}} (2) $1.6$(1) $1.2$
[6pt] (4) $2.2$(3) $2.4$

\textbf{112-} For which value of $a$ is the function
$$f(x) = \begin{cases} \dfrac{a(1+\sqrt[5]{1-x})}{x^2 - 2x} & ; \ x > 2 \\[8pt] x - a & ; \ x \leq 2 \end{cases}$$
always continuous?

\begin{tabular}{p{6cm} p{6cm}}
(2) $1.6$ & (1) $1.2$ \\[6pt]
(4) $2.2$ & (3) $2.4$
\end{tabular}

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