Step 1 :Given the function \(g(x)=-5^{x}+5\), we need to find the points where it crosses the x-axis and the y-axis.
Step 2 :The function crosses the x-axis when \(g(x) = 0\), and it crosses the y-axis when \(x = 0\).
Step 3 :To find the x-intercepts, we need to solve the equation \(-5^{x}+5 = 0\).
Step 4 :To find the y-intercept, we need to substitute \(x = 0\) into the function and solve for \(g(x)\).
Step 5 :Solving these, we find that the x-intercept is at \(x = 1\) and the y-intercept is at \(y = 4\).
Step 6 :\(\boxed{\text{Final Answer: The function } g(x)=-5^{x}+5 \text{ crosses the x-axis at } x = 1 \text{ and the y-axis at } y = 4. \text{ So, the points of intersection are } (1, 0) \text{ and } (0, 4).}\)