Math Problem Statement

Given f(x)=−3x+10f(x)=−3x+10  and  g(x) = x2−7xg(x) = x2−7x  find the following

Solution

It seems you're working with two functions f(x)=3x+10f(x) = -3x + 10 and g(x)=x27xg(x) = x^2 - 7x, and you want to find some additional information based on these. Could you specify what you would like to find, such as compositions, sums, differences, or other operations between f(x)f(x) and g(x)g(x)? Here are some examples of common requests:

  1. (f+g)(x)(f + g)(x) — the sum of the functions.
  2. (fg)(x)(f - g)(x) — the difference of the functions.
  3. (fg)(x)(f \circ g)(x) — the composition of ff and gg.
  4. (gf)(x)(g \circ f)(x) — the composition of gg and ff.
  5. Solving f(x)=g(x)f(x) = g(x).

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Quadratic Functions
Function Operations

Formulas

f(x) = -3x + 10
g(x) = x^2 - 7x
f + g, f - g, f ∘ g, g ∘ f

Theorems

Function Composition
Solving Equations Involving Functions

Suitable Grade Level

Grades 9-10