Math Problem Statement

Let f(x)=1x−2 and g(x)=2x+5. Then (f∘g)(6)= , (f∘g)(x)=

Solution

We are given two functions, f(x)=1x2f(x) = 1x - 2 and g(x)=2x+5g(x) = 2x + 5, and we need to find (fg)(6)(f \circ g)(6) and (fg)(x)(f \circ g)(x).

1. Finding (fg)(x)(f \circ g)(x):

The notation (fg)(x)(f \circ g)(x) means "the composition of ff and gg", which can be

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Math Problem Analysis

Mathematical Concepts

Function Composition
Algebra

Formulas

(f ∘ g)(x) = f(g(x))

Theorems

Function Composition

Suitable Grade Level

Grades 9-11