Question

Difficulty: EasyFunction Definitions, Evaluation, and Custom Operators

For any real number $x$ , the function $h$ is defined by $h(x) = 3x^2 - 5x + 4$ . What is the value of $h(3)$ ?

Answer: 16

To find

h(3)

, substitute

x = 3

into the function

h(x) = 3x^2 - 5x + 4

. First, compute

3^2 = 9

. Multiplying by 3 yields 27. Subtracting

5(3) = 15

gives 12, and adding 4 results in the final value of 16.

Substitute the value

x = 3

into the definition of

h(x)

h(3) = 3(3)^2 - 5(3) + 4

To evaluate a function at a specific value, replace all instances of the input variable with that value.

Evaluate the exponent and carry out the multiplications.

h(3) = 3(9) - 15 + 4 = 27 - 15 + 4

Follow standard order of operations: compute powers before performing multiplication.

Perform the remaining addition and subtraction.

h(3) = 16

Complete the calculation from left to right.

Function Evaluation

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