Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sure you can justify your answers. A. T(f(t)) = f(6) from Pg to R B. T(f(t)) = f'(t) +9f(t) + 5 from C∞ to C∞ c. T(f(t)) = f(t)f' (t) from P4 to P₁ D. T(x + y) = 7xiy from C to C E. T(f(t)) = t'f' (t) from P₂ to P8 L -4 F. T(f(t)) = f(t)dt from P5 to R

Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sure you can justify your answers. A. T(f(t)) = f(6) from Pg to R B. T(f(t)) = f'(t) +9f(t) + 5 from C∞ to C∞ c. T(f(t)) = f(t)f' (t) from P4 to P₁ D. T(x + y) = 7xiy from C to C E. T(f(t)) = t'f' (t) from P₂ to P8 L -4 F. T(f(t)) = f(t)dt from P5 to R