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Svetradugi [14.3K]
3 years ago
10

What are the x-intercepts of the equation?

title="r(x) = x-1/x+4" alt="r(x) = x-1/x+4" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0

Answer:

<u>The only x-intercept is x = 1</u>

Step-by-step explanation:

The equation is:

r(x)=\frac{x-1}{x+4}

We can substitute y for r(x), to write in the notation:

r(x)=\frac{x-1}{x+4}\\y=\frac{x-1}{x+4}

To get y-intercept, we put x = 0

and

To get x-intercept, we put y =0

We want to find x-intercepts here, so we substitute 0 into y and solve for x. Shown below:

y=\frac{x-1}{x+4}\\0=\frac{x-1}{x+4}\\0(x+4)=x-1\\0=x-1\\x=1

<u>The only x-intercept is x = 1</u>

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Step-by-step explanation:

Given that:

Part A:

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