All categories

2 years ago

If f(x) = 5x, what is f^-1(x)? F(x) = -5x of(x)- F(x) = 5* O F(x) = 5x

Mathematics

1 answer:

Oksana_A [137]2 years ago

3 0

Answer:

f^-1 (x) = x/5

Step-by-step explanation:

f(x) = 5x

Replace f(x) with y

y= 5x

Exchange x and y

x = 5y

Solve for y

Divide each side by 5

x/5 = 5y/5

x/5 = y

The inverse is x/5

You might be interested in

Find the slope of the line through each pair of point

Rashid [163]

The slope of the line passes through (-6, 3) and (1, 5) is $\frac{2}{7}$

Solution:

Given, two points are (- 6, 3) and (1, 5)

We have to find the slope of a line that passes through the above given two points

Slope of a line that pass through $\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)$ is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text { Here, in our problem, } x_{1}=-6, y_{1}=3 \text { and } x_{2}=1, y_{2}=5$

$\text { Slope } m=\frac{5-3}{1-(-6)}=\frac{2}{1+6}=\frac{2}{7}$

Hence, the slope the line that passes through the given points is $\frac{2}{7}$

4 0

2 years ago

What is the answer for this Evaluate 3|-3|.

zhenek [66]

Answer: 9

Concept:

Here, we need to know the idea of absolute value.

The absolute value of a number or integer is the actual distance of the integer from zero, in a number line.

There are no negatives in absolute value. So in practice "absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive.

Solve:

Given

3 |-3|

Expand absolute value sign, which means making [-3] positive

= 3 × (3)

Simplify by multiplication

= $\boxed{9}$

Hope this helps!! :)

Please let me know if you have any questions

4 0

2 years ago

Read 2 more answers

Can someone help me? you might get a crown

Step2247 [10]

Answer:

2.1 mph

Step-by-step explanation:

7 0

2 years ago

Plz help :{ no bad answers plz!!!

topjm [15]

It is not periodic. A periodic dataset is a dataset that repeats the same pattern over time.

7 0

2 years ago

Micheal has 5^(2) boxes. There are 5^1 of apples in each box. When empty, a box weighs 5^-2 kg. What is the total weight of boxe

Bond [772]

Answer:

5.4

Step-by-step explanation:

Juss took the test

7 0

2 years ago