at what value of x does the graph of the following function f(x) have a vertical asymptote F(x)=1/x+2

Mathematics

2 answers:

Fiesta28 [93]3 years ago

5 0

Answer: -2

Step-by-step explanation: this is the correct answer on a.p.e.x.

JulijaS [17]3 years ago

4 0

Vertical asymptote means the equation is undefined at that point, or when the denominator is 0. Is the equation F(x)=1/x+2 or F(x)=1/(x+2)? Just set whatever's on the bottom equal to zero and solve for x.

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The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

From the above formula, we can find the slope of the line:

m = (49-14)/(35-10)

m = 35/25

m = 7/5

The equation will be:

y = 7x/5 + c

here c is the y-intercept

Plug (10, 14) in the equation to find the value of c

14 = 7(10)/5 + c

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Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.

Learn more about the slope here:

brainly.com/question/3605446

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