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3 years ago

What is the inverse of the function f(x) = 2x + 1?

Mathematics

1 answer:

tiny-mole [99]3 years ago

8 0

F(X) = 2x + 1

Replace f(x) with y:

Y = 2x+ 1

Switch variables:

X = 2y + 1

Solve for Y:

Subtract 1 from both sides:

X- 1 = 2y

Divide both sides by 2:

X-1 / 2 = y

Rewrite so y is in the left side:

Y = x-1 / 2

Replace y with f^-1(x):

F^-1(x) = x-1 / 2

This can also be written as x/2 - 1/2

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07.04 Similar triangle

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Answer:

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Step-by-step explanation:

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3 years ago

How do i solve these using substitution

Vlad [161]

Answer:

Step-by-step explanation:

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3 years ago

-y varies inversely with x. When y = 9.6, x = 12. What is the value of k, the constant of inverse variation?

alisha [4.7K]

Question 1:

For this case we have an equation of the form:

$y = \frac {k} {x}$

Where,

k: inverse variation constant.

Then, substituting values we have:

$y =\frac {k} {x}$

From here, we clear the value of k.

We have then:

$k = 9.6 * 12\\k = 115.2$

Answer:

the constant of inverse variation is:

$k = 115.2$

Question 2:

For this case we have:

$y = \frac {k} {x}$

Where,

k: constant of variation.

Then, substituting the value of the constant we have:

$y =\frac {5.6} {x}$

We now substitute the value of x:

$y = \frac {5.6} {4}\\y = 1.4$

Answer:

the value of y when x = 4 is: $y = 1.4$

6 0

4 years ago

There are 20 teachers and 705 students in Corey's school.

goblinko [34]

Answer:

all the options are incorrect 

Given - 20 teachers

- 705 students

To find - ratio of teachers to students

20/705

20 : 705 .

4 0

2 years ago

Read 2 more answers

Given the functions f(x) = 7x + 13 and g(x) = x + 2, which of the following functions represents f[g(x)] correctly?

ololo11 [35]

Answer:

f[g(x)]= 7x + 27

Step-by-step explanation:

g(x) = x + 2,

f(x) = 7x + 13,

f[g(x)] means you substitute the value of g(x) into the variable of f(x);

Which is 7( x+2) + 13 = 7x +14 +13

= 7x + 27

5 0

4 years ago