Let f(x) = (2ˣ⁺² + 16)/(2²ˣ⁺¹ + 2ˣ⁺⁴ + 32). Then the value of 8(f(1/15) + f(2/15) + + f(59/15)) is equal to

Sets, Relations and Functions: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q66

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumSets, Relations and Functions168× since 2002

Let

f(x) = \frac{2^{x+2} + 16}{2^{2x+1} + 2^{x+4} + 32}

. Then the value of

8\left(f\left(\frac{1}{15}\right) + f\left(\frac{2}{15}\right) + \ldots + f\left(\frac{59}{15}\right)\right)

is equal to

JEE Main 2025 · January, Unspecified (session-level dataset) · Q66

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumSets, Relations and Functions168× since 2002

Let

f(x) = \frac{2^{x+2} + 16}{2^{2x+1} + 2^{x+4} + 32}

. Then the value of

8\left(f\left(\frac{1}{15}\right) + f\left(\frac{2}{15}\right) + \ldots + f\left(\frac{59}{15}\right)\right)

is equal to