Evaluate the function \( \mathrm{h}(\mathrm{x})=\mathrm{x}^{4}+\mathrm{x}^{2}+9 \) at the given values of the independent variable and simplify. a. \( h(-3) \) b. \( h(-1) \) c. \( h(-x) \) d. \( h(3 a) \) a. \( h(-3)= \) \( \square \) (Simplify your answer.) b. \( h(-1)= \) \( \square \) (Simplify your answer.) c. \( h(-x)= \) \( \square \) (Simplify your answer.) d. \( h(3 a)= \) \( \square \) (Simplify your answer.)

To evaluate the function \( h(x) = x^4 + x^2 + 9 \) at the given values, let's calculate each one step by step. a. \( h(-3) \) \[ h(-3) = (-3)^4 + (-3)^2 + 9 = 81 + 9 + 9 = 99 \] So, \( h(-3) = 99 \). b. \( h(-1) \) \[ h(-1) = (-1)^4 + (-1)^2 + 9 = 1 + 1 + 9 = 11 \] So, \( h(-1) = 11 \). c. \( h(-x) \) \[ h(-x) = (-x)^4 + (-x)^2 + 9 = x^4 + x^2 + 9 \] So, \( h(-x) = h(x) \). d. \( h(3a) \) \[ h(3a) = (3a)^4 + (3a)^2 + 9 = 81a^4 + 9a^2 + 9 \] So, \( h(3a) = 81a^4 + 9a^2 + 9 \). Now, compiling the simplified answers: a. \( h(-3) = 99 \) b. \( h(-1) = 11 \) c. \( h(-x) = x^4 + x^2 + 9 \) d. \( h(3a) = 81a^4 + 9a^2 + 9 \)