Let f: [ -1 2 , 0 ] B defined by f(x)= ⁻¹ (4 x^2+3 x ) is onto, then the set B is [ 2 , - ⁻¹ a b ] , where a and b are co-prime, then find the value of (a+b) .

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Correct answer: 25

Since f(x) is onto hence range of f(x) equals co-domain Now range of 4 x^2+3 x in [ -1 2 , 0 ] is [ -9 16 , 0 ] Hence, range of f(x)= ⁻¹ (4 x^2+3 x ) is [ 2 , - ⁻¹ 9 16 ]

Let f: [ -1 2 , 0 ] B defined by f(x)= ⁻¹ (4 x^2+3 x ) is onto, then the set B is [ 2 , - ⁻¹ a b ] , where a and b are co-prime, then find the value of (a+b) .

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