Math Problem Statement

Given h, of, x, equals, minus, 2, x, minus, 3h(x)=−2x−3, find h, of, 6h(6).

Solution

The given function is h(x)=2x3h(x) = -2x - 3. We are asked to find h(6)h(6).

To do this, substitute x=6x = 6 into the function:

h(6)=2(6)3h(6) = -2(6) - 3

h(6)=123h(6) = -12 - 3

h(6)=15h(6) = -15

Thus, h(6)=15h(6) = -15.

Would you like a more detailed explanation?

Here are 5 related questions for practice:

  1. What is h(8)h(8) if h(x)=2x3h(x) = -2x - 3?
  2. If h(x)=3x+4h(x) = 3x + 4, what is h(6)h(6)?
  3. What is the value of h(3)h(-3) in the function h(x)=2x3h(x) = -2x - 3?
  4. Find h(0)h(0) for the same function h(x)=2x3h(x) = -2x - 3.
  5. How does changing the coefficient of xx in the function h(x)h(x) affect the output?

Tip: When evaluating a function at a specific point, simply substitute the value into the equation for the variable.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Evaluation

Formulas

h(x) = −2x − 3

Theorems

Substitution of values into a linear function

Suitable Grade Level

Grades 6-8