Answer:Given the function:[ f(x) = x^3 + 2x^2 + x ]We want to find ( f(0.24) ). Step 1: Calculate each term:( x^3 = (0.24)^3 = 0.24 \times 0.24 \times 0.24 )( 0.24 \times 0.24 = 0.0576 )( 0.0576 \times 0.24 = 0.013824 )( 2x^2 = 2 \times (0.24)^2 = 2 \times (0.24 \times 0.24) = 2 \times 0.0576 = 0.1152 )( x = 0.24 ) Step 2: Add the terms together:[ f(0.24) = 0.013824 + 0.1152 + 0.24 = 0.369024 ] Answer:[ f(0.24) = 0.369024 ]