What is the domain of f in the equation F(x)=5/x2-18x+45

1 answer:

6 0

$f(x)=\dfrac{5}{x^2-18x+45}\\\\The\ domain:\\\\x^2-18x+45\neq0\\\\x^2-15x-3x+45\neq0\\\\x(x-15)-3(x-15)\neq0\\\\(x-15)(x-3)\neq0\iff x-15\neq0\ \wedge\ x-3\neq0\\\\\boxed{x\neq15\ \wedge\ x\neq3}\to\boxed{x\in\mathbb{R}-\{3,\ 15\}}$

You might be interested in

Describe the slope of the line.

Brut [27]

Answer:

The slope is POSITIVE.

The line has a slope of positive 4/3

Step-by-step explanation:

It rises 4 then runs 3.

6 0

2 years ago

Convert the units of length.<br><br> 7.5 cm<br> =<br> __ m

Vikki [24]

Answer:

If "m" stands for meters, then thats not possible.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Let x^2+18x=44 . What values make an equivalent number sentence after completing the square?

Lostsunrise [7]

To find the final term to compete the square you need to divide the 'x' term by 2 then square it

$x^2 +18x + = 44+ \\ x^2+18x+( \frac{18}{2} )^2=44+( \frac{18}{2} )^2 \\ x^2+18x+9^2=44+9^2 \\ x^2+18x+81=44+81 \\ (x+9)^2=125$ - equivalent equation

6 0

3 years ago

Read 2 more answers

In order to apply the law of sines to find the length of the side of a triangle, it is enough to know which of the following?

larisa86 [58]

Answer:

We must have two angles and a side.

A is the correct option.

Step-by-step explanation:

For any triangle ABC, the law of sine is given by

$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$