Math Problem Statement

Given F(x) =x+5, g(x)=x^2-9, and h(x)=x^2 -10x+7

Solution

It looks like you've provided three functions:

  1. F(x)=x+5F(x) = x + 5
  2. g(x)=x29g(x) = x^2 - 9
  3. h(x)=x210x+7h(x) = x^2 - 10x + 7

What would you like to do with these functions? You could be looking to:

  • Find composite functions, like (Fg)(x)(F \circ g)(x) or (gh)(x)(g \circ h)(x)
  • Perform operations on them (addition, subtraction, etc.)
  • Evaluate them at specific values of xx

Let me know what you'd like to explore! If you'd like further details or have any questions, feel free to ask.

Here are some related questions:

  1. How do you find the composite function (Fg)(x)(F \circ g)(x)?
  2. What would g(x)+h(x)g(x) + h(x) simplify to?
  3. How would you factor the quadratic function h(x)h(x)?
  4. What is the value of F(x)F(x) at x=3x = 3?
  5. How can we find the intersection points of these functions?

Tip: When composing functions, make sure to substitute the output of one function as the input for the next!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Functions
Composite Functions
Quadratics
Function Operations

Formulas

F(x) = x + 5
g(x) = x^2 - 9
h(x) = x^2 - 10x + 7

Theorems

Function composition
Operations on functions (addition, subtraction, etc.)

Suitable Grade Level

Grades 9-11