Hello!

You can't use the product of powers rule because the numbers do not have exponents

If they did have exponents you still won't be able to use it because the bases have to be the same

Hope this helps!

4 0

3 years ago

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Vedmedyk [2.9K]

i) The given function is

$f(x)=\frac{x-5}{2x^2-5x-3}$

The factored form is

$f(x)=\frac{x-5}{(x-3)(2x+1)}$

The domain are the values of x for which the function is defined.

$(x-3)(2x+1)\ne 0$

$(x-3)\ne0,(2x+1)\ne 0$

$x\ne3,x\ne-\frac{1}{2}$

ii) To find the vertical asymptotes, equate the denominator to zero.

$(x-3)(2x+1)=0$

$(x-3)=\ne0,(2x+1)=0$

$x=3,x=-\frac{1}{2}$

iii) To find the roots, equate the numerator to zero.

$x-5=0$

The root is $x=5$

iv) To find the y-intercept, put $x=0$ into the function.

$f(0)=\frac{0-5}{(0-3)(2(0)+1)}$

$f(0)=\frac{-5}{(-3)(1)}$

$f(0)=\frac{5}{3}$

The y-intercept is $\frac{5}{3}$

v) The horizontal asymptote is given by;

$lim_{x\to \infty}\frac{x-5}{2x^2-5x-3}=0$

The horizontal asymptote is $y=0$

vi) The function is not reducible. There are no holes.

vii) The given function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

3 0

3 years ago

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need right now, will mark brainlyest and 100 points! Ellis is painting wooden fenceposts before putting them in his yard. They a

Oliga [24]

Answer:

172.7sqft (square feet)

Step-by-step explanation:

SA = 2(pi)(r)(h) + 2(pi)r^2

plug in the radius, height, and find SA, then multiply by 10 fenceposts.

SA= 2(3.14)(.5)(6)

Solve

SA=14.39166

Multiply by 12

Answer is 172.7sqft

Hope this helps!

5 0

3 years ago