Final answer:
To find the x-intercept of the function g(x) = (2/5)x - 4, set the function equal to 0 and solve for x, which gives us an x-intercept of 10.
Step-by-step explanation:
The x-intercept of a function is the point at which the graph of the function crosses the x-axis. To find the x-intercept of the function g(x) = (2/5)x - 4, we need to set the y-value to 0 and solve for x.
So, set g(x) = 0:
0 = (2/5)x - 4.
To solve for x, we add 4 to both sides and then multiply by (5/2) to get:
0 + 4 = (2/5)x
4 = (2/5)x
x = 4 / (2/5)
x = 4 × (5/2)
x = 10.
Therefore, the x-intercept of the function is 10.