Find all x-intercepts of the following function. Write your answer or answers as coordinate points. Be sure to select the appropriate number of x-intercepts. f(x)=(2x-4)/(5x-8)

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Set Equation to Zero: To find the x-intercepts of the function, we need to set f(x) to zero and solve for x. This is because x-intercepts occur where the graph of the function crosses the x-axis, which corresponds to the points where the function value is zero.Solve for x: Setting f(x) to zero gives us the equation (2x-4)/(5x-8) = 0. To find the x-intercepts, we need to solve this equation for x.Ignore Denominator: Since a fraction is only equal to zero when its numerator is zero, we can ignore the denominator for this step and set the numerator equal to zero: 2x - 4 = 0.Isolate x: Solving the equation 2x - 4 = 0 for x, we add 4 to both sides to get 2x = 4.Find x-Intercept Coordinate: Next, we divide both sides by 2 to isolate x, which gives us x = 2.Now that we have the value of x, we can write the x-intercept as a coordinate point. The x-intercept is at the point (2, 0).

Find all $x$ -intercepts of the following function. Write your answer or answers as coordinate points. Be sure to select the appropriate number of $x$ -intercepts. $\newline$ $f(x)=\frac{2 x-4}{5 x-8}$

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Find all $x$ -intercepts of the following function. Write your answer or answers as coordinate points. Be sure to select the appropriate number of $x$ -intercepts. $\newline$ $f(x)=\frac{2 x-4}{5 x-8}$