Question

The table below shows some values of f(x) and (x) for different values of

f) - 2x + 24
8(x) = 5(0.5)
Complete the chart and determine the solution of the equation f(x) = g(x)
О х¹
O x⁻¹
O **20

Answer 1

To find where f(x) equals g(x), set their expressions equal and solve for x. For a linear f(x) and constant g(x), solve the linear equation. Mathematically label the graph with f(x) and g(x), and scale axes appropriately.

Step-by-step explanation:

The student appears to be asking about solving for the value of x when two functions, f(x) and g(x), are equal to each other. Without the full chart or clear expressions for both functions, we can't complete the chart or find a precise solution. However, generally, to find the point where f(x) = g(x), one would set the expressions for f(x) and g(x) equal to each other and solve for x. If f(x) is a linear function like f(x) = ax + b, and g(x) is a constant function like g(x) = c, the solution involves solving the linear equation ax + b = c.

In cases where graphs are involved, one would typically label the graph with the functions f(x) and x, and scale the axes according to the maximum values. If assuming x is much smaller than a constant in the equation (like 0.25), you may approximate (0.25 - x) as 0.25 to simplify calculations. However, if this assumption is unjustified, you would need to use the quadratic formula or another suitable method for solving the equation.