Find $f \circ g$ $f ( x ) = x + 4 \quad g ( x ) = \frac { 3 } { x ^ { 2 } - 16 }$

question 66

Multiple Choice

Find $f \circ g$ .
$f ( x ) = x + 4 \quad g ( x ) = \frac { 3 } { x ^ { 2 } - 16 }$

• A) \(( f \circ g ) ( x ) = \frac { 3 } { x ^ { 2 } }\)
• B) \(( f \circ g ) ( x ) = \frac { 3 } { x ^ { 2 } + 8 x }\)
• C) \(( f \circ g ) ( x ) = \frac { 4 x ^ { 2 } - 1 } { x ^ { 2 } - 16 }\)
• D) \(( f \circ g ) ( x ) = \frac { 7 } { x ^ { 2 } - 16 }\)
• E) \(( f \circ g ) ( x ) = \frac { 4 x ^ { 2 } - 61 } { x ^ { 2 } - 16 }\)

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Definitions:

Short-Run Capacity

Refers to the maximum output a firm can produce under a given set of fixed and variable inputs within a short period.

Average Variable Cost

Average variable cost is the total variable cost divided by the quantity of output, showing the cost of producing one more unit of a good.

Marginal Product

The additional output produced by using one more unit of a given input, holding all other inputs constant.

Marginal Cost Curve

A graphical representation that shows how the cost of producing one additional unit of a good changes as the production volume varies.