Final answer:
To find the x-intercept of the function g(x) = 9 - (9/4)x, set the y-value to 0 and solve for x. The x-intercept is (4, 0).
Step-by-step explanation:
To find the x-intercept of the function g(x) = 9 - (9/4)x, set the y-value (g(x)) to 0 and solve for x.
0 = 9 - (9/4)x
Simplify the equation by distributing the 9:
0 = 9 - 9x/4
Multiply both sides of the equation by 4 to eliminate the fraction:
0 = 36 - 9x
Subtract 36 from both sides:
-36 = -9x
Divide both sides of the equation by -9:
x = 4
Therefore, the x-intercept of the function g(x) = 9 - (9/4)x is (4, 0).