Find an Equation for the Inverse Function $$f ( x ) = \log ( x + 5 ) + 4$$

question 131

Multiple Choice

Find an equation for the inverse function.
- $$f ( x ) = \log ( x + 5 ) + 4$$

• A) \(f ^ { - 1 } ( x ) = 10 ^ { x + 4 } + 5\)
• B) \(f ^ { - 1 } ( x ) = 10 ^ { x + 5 } + 4\)
• C) \(f ^ { - 1 } ( x ) = 10 ^ { x - 4 } - 5\)
• D) \(f ^ { - 1 } ( x ) = 10 ^ { x - 5 } - 4\)

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Definitions:

Receptor Kinase

A type of enzyme receptor on the cell surface that is activated by the binding of a ligand and transfers a phosphate group from ATP to specific substrates, often triggering a signaling pathway.

Plasma Membrane

The semipermeable membrane surrounding the cytoplasm of a cell, responsible for controlling the movement of substances in and out of the cell.

Plant Hormone

Organic substances produced in plants that regulate growth, development, and responses to stress.

Amylase

An enzyme that catalyzes the hydrolysis of starch into sugars, found in saliva and pancreatic fluid, playing a vital role in the digestive system.