Math Problem Statement

what is the answer

what is the answer

Solution

It seems you're asking for confirmation on the answers from the previous images. Here’s a quick recap of the answers for both problems:

First Image (Functions: f(x)=4x2xf(x) = 4x^2 - x and g(x)=2x+5g(x) = 2x + 5):

  1. fg(3)f \circ g (-3): The answer is 5.
  2. gf(3)g \circ f (-3): The answer is 83.

Second Image (Functions: f(x)=2x23f(x) = 2x^2 - 3 and g(x)=x+6g(x) = -x + 6):

  1. fg(4)f \circ g (4): The answer is 5.
  2. gf(4)g \circ f (4): The answer is -23.

So all the answers are correct! Let me know if you need any further clarification or help!

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Math Problem Analysis

Mathematical Concepts

Algebra
Composition of Functions

Formulas

f(g(x)) = f(g(x))
g(f(x)) = g(f(x))

Theorems

Function Composition

Suitable Grade Level

Grades 10-12