All categories

3 years ago

What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(−

Mathematics

2 answers:

nadezda [96]3 years ago

7 0

Solution:

1. The given function is

f(x) = 2 x

it is equation of line passing through origin having slope 2 and the line passes through first and third quadrant.

Domain= All Real numbers, Range = All Real Numbers

2. Now , when x is replaced by (-12 x), we get

f(-12 x)= 2 × (-12 x)

Let f(-12 x)= f(z)= -24 x

it is equation of line passing through origin having slope -24 and the line passes through second and fourth quadrant.

Domain= All Real numbers, Range = All Real Numbers

Relation between the two function i.e between 1 and 2 is

→Slope of line 2 = Slope of line 1 × (-12)

→ The function 2 i.e f(z)= -24 x shifts in left Direction.

The function 1 is dilated by factor of (-12) to get function 2.

olasank [31]3 years ago

4 0

It would be replaced with f(-2) which is the reciperacle of 2x

You might be interested in

21. For the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line 2.

dybincka [34]

Answer:

The given lines are perpendicular.

Step-by-step explanation:

In the question, two lines are given as line 1 passes through (1,7) and (5,5). Whereas, line 2 passes through (-1,-3) and (1,1).

It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.

To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel.

Step 1 of 2

Find the slope of first line.

$\begin{aligned}m_{1} &=\frac{5-7}{5-1} \\m_{1} &=\frac{-2}{4} \\m_{1} &=-\frac{1}{2}\end{aligned}$

Step 2 of 2

Find the slope of first line.

$\begin{aligned}&m_{2}=\frac{1-(-3)}{1-(-1)} \\&m_{2}=\frac{4}{2} \\&m_{2}=2\end{aligned}$

And

$\begin{aligned}&m_{1} m_{2}=-\frac{1}{2}(2) \\&m_{1} m_{2}=-1\end{aligned}$

Since, both slopes are reciprocal of each other.

Therefore, the lines are perpendicular.

6 0

2 years ago

the smiths are planning to complete a 1890 mile trip in 3 days. if they drive 596 miles the first day and 612 miles the second d

Bingel [31]

They must travel 682 miles because 596+612=1,208 and 1,890-1,208=682

6 0

3 years ago

Write this expression so that its denominator, if any, is a positive integer.<br> 2/(3+sqrt(7))

Tanzania [10]

Answer:

The Answer is 3 - sqrt7

Step-by-step explanation:

2/3 + sqrt7 the starting equation

You multiply it by the conjugate which is 3 - sqrt7

= 2(3 - sqrt7) / (3 + sqrt7) (3 - sqrt7) the equation after you multiply by 3 - sqrt7

(3 + sqrt7) (3 - sqrt7) = 2

= 2(3 - sqrt7) / 2 the equation after you simplify (3 + sqrt7) (3 - sqrt7)

Divide out the 2's

= 3 - sqrt7/1 the equation after you divide out the 2's

= 3 - sqrt7 is THE ANSWER

7 0

2 years ago

A tennis racket at at sport city costs $180 and is discounted 15% the same model racket costs$200 at tennis world and is on sale

MaRussiya [10]

Mate, stop repeating questions, wait until your question has been answered.

15% of 180 is (180 * 0.15) = 27.

180 - 27 = $153 paid.

20% of 200 = (200 * 0.2) = 40.

200 - 40 = $160 paid.

Therefore Sport City offered the better deal.

4 0

3 years ago

Read 2 more answers

Oh please help me i don't know how to do it

alukav5142 [94]

A and D

To get x on one side you have to, in this case, add 3 to both sides. This is the addition property of equality

6 0

3 years ago

Read 2 more answers