Math Problem Statement

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

Solution

To find h(2)h(-2) given the function h(x)=x3h(x) = -x - 3, we need to substitute 2-2 for xx in the function.

The function is:

h(x)=x3h(x) = -x - 3

Substituting 2-2 for xx:

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

Simplify the expression:

h(2)=23=1h(-2) = 2 - 3 = -1

So, h(2)=1h(-2) = -1.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is h(0)h(0) for the same function h(x)=x3h(x) = -x - 3?
  2. How would you find the value of h(5)h(5)?
  3. What does the graph of h(x)=x3h(x) = -x - 3 look like?
  4. Can you determine the x-intercept of h(x)=x3h(x) = -x - 3?
  5. What is the slope of the linear function h(x)=x3h(x) = -x - 3?

Tip: When substituting a value into a function, replace every instance of the variable with that value to evaluate the function correctly.

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Math Problem Analysis

Mathematical Concepts

Function evaluation
Substitution

Formulas

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Theorems

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Suitable Grade Level

High school