Final answer:
To find the equation of the tangent line to g(x) at x = 0.8, calculate the derivative of g(x), evaluate it at x = 0.8 to find the slope, and then use the point-slope form with the point (0.8, g(0.8)) to write the equation. The equation of the tangent line is not provided in the given options.
Step-by-step explanation:
Finding the Equation of the Tangent Line
To find the equation of the tangent line to the curve g(x) at the point of tangency x = 0.8, we need to follow these steps:
Calculate the derivative of g(x) to find the slope of the tangent line at any point x.
Evaluate the derivative at x = 0.8 to find the slope at the specified point of tangency.
Use the point-slope form of a line with the slope found in step 2 and the point (0.8, g(0.8)) to write the equation of the tangent line.
Unfortunately, the information provided does not give a specific function for g(x) nor its derivative. However, the student should apply these steps to the correct function to find the equation of the tangent line.
The equation of the tangent line to the curve g(x) at the point of tangency x = 0.8 can be found using calculus.
First, find the derivative of g(x) with respect to x, denoted as g'(x). Then, evaluate g'(x) at x = 0.8 to find the slope of the tangent line.
Finally, use the point-slope form of a line with the slope and the point (0.8, g(0.8)) to find the equation of the tangent line.
The equation of the tangent line is not provided in the given options.