If c times x is equal to 4 x minus 2 and d times x is equal to x squared plus 5 x , what is open paren c circ d close paren times x ?

The composition (c circ d)(x) means substitute d(x) into c(x). Since c(x) = 4x - 2 and d(x) = x² + 5x, we get c(d(x)) = 4(x² + 5x) - 2 = 4x² + 20x - 2. This matches choice C, “4 x squared plus 20 x minus 2.”

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