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2 years ago

Which point satisfies both ƒ(x) = 2x and g(x) = 3x?

Mathematics

2 answers:

ki77a [65]2 years ago

7 0

The answer would be. 0,0

siniylev [52]2 years ago

4 0

Answer:

(0,0)

Step-by-step explanation:

If a point satisfies both functions, they must be equal to each other. Thus, we have:

$f(x)=g(x)$

$2x=3x$

The only x that satisfies this is 0.

Therefore, the y is also zero.

The point is (0,0).

Alternatively, you can also visualize the graphs. The only point where the graphs will touch is the origin point or (0,0).

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Find the domain of the function

Svetradugi [14.3K]

Answer:

The domain of f is (-∞,4)

Step-by-step explanation:

Domain of a Function

The domain of a function f is the set of all the values that the input variable can take so the function exists.

We are given the function

$f(x)=\frac{1}{\sqrt{4-x} }$

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:

4 - x > 0

Subtracting 4:

- x > -4

Multiplying by -1 and swapping the inequality sign:

x < 4

Thus the domain of f is (-∞,4)

7 0

1 year ago

Which function is the inverse of f(x) = 2x + 3?

lianna [129]

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

The easiest way to find the inverse is to switch x and y and solve for y.

y = 2x + 3

x = 2y + 3 (Switch)

x-3 = 2y (Subtract y from both sides)

x/2 - 3/2 = y (Divide both sides by 2)

8 0

2 years ago

Read 2 more answers

Lee wants to cut this piece of canvas into two rectangles that are 3x2 and 3x5. He wants the sum of the two small rectangles to

lord [1]

Yes because 3×2= 6 , 3×5= 15, 15 + 6 = 21

8 0

2 years ago

If a data set showing types of pizza ordered at a particular restaurant indicates 24 out of 72 orders were for pepperoni pizza,

Pepsi [2]

Answer:120 degrees

Step-by-step explanation:

24 out 72 orders:.

We have total of 360° in a pichart,

So degrees that will be needed to represent 24 out of 72 on pie chart is :

Pizza= (24 / 72 ) * 360°

Pizza=8640 / 72

Pizza= 120°

4 0

2 years ago

Solve for b: a/b = c

irina [24]

Multiply each term by
b

and simplify.
a = cb

Rewrite the equation as
cb = a
Divide each term by
c

and simplify.
b = a/ c

4 0

2 years ago

Read 2 more answers