Determine Whether (F ∘ G)(x) = X and Whether (G $$f ( x ) = \sqrt { x + 1 } , g ( x ) = x ^ { 2 }$$

question 345

Multiple Choice

Determine whether (f ∘ g) (x) = x and whether (g ∘ f) (x) = x.
- $$f ( x ) = \sqrt { x + 1 } , g ( x ) = x ^ { 2 }$$

• A) No, no
• B) Yes, yes
• C) Yes, no
• D) No, yes

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Definitions:

Motion Toys

Mid-nineteenth century devices that facilitated the viewing of multiple moving images. See also thaumatrope; phenakistoscope; zoetrope; praxinoscope.

Sound on Disc

An early method of providing synchronized sound to silent films using records played in conjunction with the film's projection, before the advent of sound-on-film technology.

Photographic Gun

A device designed in the early history of photography to capture images quickly, resembling the operation of a gun.

Étienne-Jules Marey

A French scientist and chronophotographer, whose work is significant in the development of motion pictures.