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JEE Main Mock Test 14

Q 1 / 25
1:00:00
Section A - MCQEasyJEE Main 2023
Question 1+4 marks
Let f, g : R →\rightarrow R be two real valued functions defined as f(x)={−∣x+3∣,x<0ex,x≥0f(x) = \left\{ {\begin{matrix} { - |x + 3|} & , & {x < 0} \\ {{e^x}} & , & {x \ge 0} \end{matrix} } \right. and g(x)={x2+k1x,x<04x+k2,x≥0g(x) = \left\{ {\begin{matrix} {{x^2} + {k_1}x} & , & {x < 0} \\ {4x + {k_2}} & , & {x \ge 0} \end{matrix} } \right., where k 1 and k 2 are real constants. If (gof) is differentiable at x = 0, then (gof) (−- 4) + (gof) (4) is equal to :