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h(x)=x^(2)+3x+1 The function h is defined. What is the value of h(3) ?

h(x)=x2+3x+1 h(x)=x^{2}+3 x+1 \newlineThe function h h is defined. What is the value of h(3) h(3) ?

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Full solution

Q. h(x)=x2+3x+1 h(x)=x^{2}+3 x+1 \newlineThe function h h is defined. What is the value of h(3) h(3) ?
  1. Given Function and Task: We are given the function h(x)=x2+3x+1h(x) = x^2 + 3x + 1 and asked to find the value of h(3)h(3). To do this, we will substitute xx with 33 in the function and simplify.\newlineCalculation: h(3)=(3)2+3∗(3)+1h(3) = (3)^2 + 3*(3) + 1
  2. Calculate Square of 33: First, we calculate the square of 33.\newlineCalculation: (3)2=9(3)^2 = 9
  3. Multiply 33 by 33: Next, we multiply 33 by 33.\newlineCalculation: 3×(3)=93\times(3) = 9
  4. Add Results and 11: Now, we add the results from the first two steps and add 11.\newlineCalculation: 99 (from step 22) + 99 (from step 33) + 11 = 1919
  5. Final Answer: We have found the value of h(3)h(3) by performing the calculations correctly.\newlineFinal Answer: h(3)=19h(3) = 19

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