Ask question

Ask question

All categories

2 years ago

15

If the graph of f(x) has the point (2,7) then what is one point that will be on the graph of f-1(x)

2 answers:

IRINA_888 [86]2 years ago

6 0

The graph of f^-1 (x) is called the inverse function of f (x). The relationship between the two is that the point (x,y) is on the graph of f (x) if and only if the point (y,x) is on the graph of f^-1 (x).

This means that if the point (2, 7) is on f (x), therefore the point (7, 2) is on f^-1 (x).

<span>Answer: (7, 2)</span>

Nuetrik [128]2 years ago

5 0

Answer: The required point is (7, 2).

Step-by-step explanation: Given that the graph of f(x) has the point (2, 7).

We are to find one point that will be on the graph of $f^{-1}(x).$

We know that

if a point (a, b) lies on the graph of a function g(x), then the point (b, a) will always lie on the the graph of the inverse function $g^{-1}(x).$

Therefore, the one point that will lie on the graph of $f^{-1}(x)$ is (7, 2).

Thus, the required point is (7, 2).

You might be interested in

What is the mixed number for 38/8

attashe74 [19]

38/8 = 4 6/8 = 4 3/4

3 0

2 years ago

Danielle earns a 7.25% commission on everything she sells at the electronics store where she works. She also earns a base salary

algol13

Danielle earned $969 last week if she sold $4,400 in electronics merchandise

<h3><u><em>Solution:</em></u></h3>

Given that, Danielle earns a 7.25% commission on everything she sells at the electronics store where she works.

She also earns a base salary of $650 per week.

We have to find how much did she earn last week if she sold $4,400 in electronics merchandise?

Now, we know that, earned amount = base salary + commission

Given that she earns a 7.25% commission on everything she sells

<em><u>So commission earned for selling $ 4400 is given as:</u></em>

commission earned = 7.25 % of 4400

$\text { commission earned }=\frac{7.25}{100} \times 4400=7.25 \times 44=319$

Earned amount = base salary + commission = 650 + 319 = 969

Hence, she earned $969 last week

7 0

2 years ago

Three more than five times a number is the same as thirty more than twice the number

Arturiano [62]

3 + 5x= 30+ 2x

X=9
Hope this helped

6 0

3 years ago

Read 2 more answers

I need number 22 answered

pochemuha

Answer:

y = -7.5 I believe

Step-by-step explanation:

6 0

2 years ago

Use a half-angle identity to find the exact value

Tatiana [17]

Given:

$\cos 15^{\circ}$

To find:

The exact value of cos 15°.

Solution:

$$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}$

Using half-angle identity:

$$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}$

$$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}$

Using the trigonometric identity: $\cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}$

$$=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}$

Let us first solve the fraction in the numerator.

$$=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}$

Using fraction rule: $\frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}$

$$=\sqrt{\frac {2+\sqrt{3}}{4}}$

Apply radical rule: $\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$$=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}$

Using $\sqrt{4} =2$ :

$$=\frac{\sqrt{2+\sqrt{3}}}{2}$

$$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}$

5 0

3 years ago