Question 674024: Please help me solve : Idetify the x and y-intercept of f(x). without graphing g(x), idetify its x and y-intercepts.
F(x)=-3/2x+9 and g(x)= 2/3f(x)
Answer by ReadingBoosters(3246)   (Show Source):
You can put this solution on YOUR website! Set y equal to zero and solve for the x intercept.
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Set x equal to zero and solve for the y intercept.
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f(x) = -3/2x + 9
y = -3/2x + 9
0 = -3/2x + 9
-9 = -3/2x
-9(-2/3) = x
x = 6, so (6, 0) x intercept
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y = -3/2(0) + 9
y = 9, so (0, 9) y intercept
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g(x) = (2/3)f(x)
g(x) = (2/3)(-(3/2)x + 9)
= (2/3)(-3/2)x + (2/3)(9)
= -x + 6
y = -x + 6
0 = -x + 6
x = 6, so (6,0) x intercept
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y = -x + 6
y = -0 + 6
y = 6, so (0,6) y intercept
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