Given F(x) and G(x), Find the Indicated Composition and State $$f ( x ) = 4 x ^ { 2 } + 2 x + 4 , g ( x ) = 2 x - 7$$

question 76

Multiple Choice

Given f(x) and g(x) , find the indicated composition and state its domain.
- $$f ( x ) = 4 x ^ { 2 } + 2 x + 4 , g ( x ) = 2 x - 7$$
Find $( g \circ f ) ( x )$ .

• A) \(4 x ^ { 2 } + 4 x + 1\), all real numbers
• B) \(8 x ^ { 2 } + 4 x + 1\), all real numbers
• C) \(8 x ^ { 2 } + 4 x + 15\), all real numbers
• D) \(4 x ^ { 2 } + 2 x - 3\), all real numbers

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Definitions:

C-C

Refers to the covalent bond between two carbon atoms in organic chemistry.

σ Bond

The strongest type of covalent chemical bond formed by the head-on overlapping of atomic orbitals.

Allene

Organic compounds characterized by a cumulated diene system with two carbon-carbon double bonds.

Correct Hybridization

The mixing of atomic orbitals to form new hybrid orbitals, explaining the geometry of molecular bonding.