jee-main 2020 Q61

jee-main · India · session1_07jan_shift1 Composite & Inverse Functions Recover a Function from a Composition or Functional Equation

If $g(x) = x ^ { 2 } + x - 1$ and $(g \circ f)(x) = 4x ^ { 2 } - 10x + 5$, then $f \left( \frac { 5 } { 4 } \right)$ is equal to
(1) $\frac { 3 } { 2 }$
(2) $- \frac { 1 } { 2 }$
(3) $\frac { 1 } { 2 }$
(4) $- \frac { 3 } { 2 }$

If $g(x) = x ^ { 2 } + x - 1$ and $(g \circ f)(x) = 4x ^ { 2 } - 10x + 5$, then $f \left( \frac { 5 } { 4 } \right)$ is equal to\\
(1) $\frac { 3 } { 2 }$\\
(2) $- \frac { 1 } { 2 }$\\
(3) $\frac { 1 } { 2 }$\\
(4) $- \frac { 3 } { 2 }$

Paper Questions

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