Math Problem Statement

ℎ(𝑥)=4𝑥2+3𝑥−5 Find: h(t)

Solution

Given the function h(x)=4x2+3x5h(x) = 4x^2 + 3x - 5, we are asked to find h(t)h(t), which means we simply substitute xx with tt in the given equation.

Thus, the function becomes:

h(t)=4t2+3t5h(t) = 4t^2 + 3t - 5

This is the expression for h(t)h(t).

Would you like further details or have any other questions?

Here are 5 related questions to practice:

  1. What is h(2)h(2) for the function h(x)=4x2+3x5h(x) = 4x^2 + 3x - 5?
  2. How do you find h(1)h(-1) for the same function?
  3. Can you determine the roots of h(x)=0h(x) = 0?
  4. What is the derivative of h(x)h(x)?
  5. What is the value of h(0)h(0)?

Tip: When substituting values into a function, ensure you replace all instances of the variable!

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Substitution

Formulas

Quadratic equation formula: ax^2 + bx + c

Theorems

Substitution in functions

Suitable Grade Level

Grades 7-9