Let f(x) be a continuous function fiven by f(x)={2x,x2+ax+b,∣x∣≤1∣x∣>1,then If f(x) is continuous for all real x then the value of a2+b2 is

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Let f(x) be a continuous function fiven by $f (x) = {2 x, x^{2} + a x + b, ∣ x ∣ \leq 1 ∣ x ∣ > 1, then$
If f(x) is continuous for all real x then the value of $a^{2} + b^{2}$ is

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Let f(x) be a continuous function fiven by

f (x) = {2 x, x^{2} + a x + b, ∣ x ∣ \leq 1 ∣ x ∣ > 1, then

If f(x) is continuous for all real x then the value of

a^{2} + b^{2}

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Question Text

Let f(x) be a continuous function fiven by

f (x) = {2 x, x^{2} + a x + b, ∣ x ∣ \leq 1 ∣ x ∣ > 1, then

If f(x) is continuous for all real x then the value of

a^{2} + b^{2}