Math Problem Statement

f(x) = x² + 5x + 6,

Solution

Given the functions:

  • f(x)=x2+5x+6f(x) = x^2 + 5x + 6
  • h(x)h(x) (not yet provided)

We can start by calculating f(4)f(4):

f(4)=42+5(4)+6f(4) = 4^2 + 5(4) + 6

Let's calculate this:

f(4)=16+20+6=42f(4) = 16 + 20 + 6 = 42

So, f(4)=42f(4) = 42.

Now, to complete the calculation of (hf)(4)(h \circ f)(4), we need the function h(x)h(x). Could you please provide the expression for h(x)h(x)?

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Math Problem Analysis

Mathematical Concepts

Quadratic Equations
Function Composition

Formulas

Quadratic formula

Theorems

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Suitable Grade Level

High School