All categories

2 years ago

Find the inverse of f(x)=5x-2

Mathematics

1 answer:

kompoz [17]2 years ago

5 0

Answer:

$f^{-1}$ (x) = $\frac{x+2}{5}$

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject

y = 5x - 2 ( add 2 to both sides )

y + 2 = 5x ( divide both sides by 5 )

$\frac{y+2}{5}$ = x

Change y back into terms of x

$f^{-1}$ (x) = $\frac{x+2}{5}$

You might be interested in

The function f(x) = 6x + 8 is transformed to function g through a horizontal stretch by a factor of 5. What is the equation of f

elixir [45]

Answer:

$g(x) = 30\cdot x +40$ ; $a \approx 1.898$ , $k = 40$ .

Step-by-step explanation:

The resultant function is obtained by multiplying $f(x)$ by a real number $k$ . That is:

$g(x) = k \cdot f (x)$

If $k = 5$ and $f(x) = 6\cdot x + 8$ , then $g(x)$ is:

$g(x) = 5\cdot (6\cdot x + 8)$

$g(x) = 30\cdot x +40$

Given that presence of the expression $g(x) = 6^{a}\cdot x + k$ , then:

$6^{a} = 30$ and $k = 40$

The value of a is obtained by applying the definition of logarithms:

$a = \log_{6}30$

$a \approx 1.898$

Finally, the value of k is found by direct comparison:

$k = 40$

6 0

2 years ago

Leslie joins a fitness club that has a

agasfer [191]

Answer:

Step-by-step explanation:

15x+20 = 40 +10x

x = 4

6 0

2 years ago

Help Me Please! <br> Does anyone know what is the Radical of 4/49

Serjik [45]

2/7 im pretty sure hope it helped

7 0

2 years ago

Read 2 more answers

Suppose we roll a fair six-sided die and sum the values obtained on each roll, stopping once our sum exceeds 285. Approximate th

OlgaM077 [116]

Answer:

Step-by-step explanation:

Probability is given by number of possible outcomes ÷ number of total outcomes

Assuming we stop rolling the six-sided die once our sum is 290 ( exceeds 285)

Number of possible outcomes = 75, number of total outcomes = 290

Probability (75 rolls are needed to get this sum) = 75/290 = 0.259

Probability (more than 75 rolls are needed to get this sum) = 1 - 0.259 = 0.741

Probability (at least 75 rolls are needed to get this sum) means that either 75 rolls or more than 75 rolls are needed to get this sum = 0.259 + 0.741 = 1

4 0

2 years ago

What is the equation of the line that passes through the point (3,-5)(3,−5) and has a slope of 0?

bearhunter [10]

Answer:

y=x-5

Step-by-step explanation:

y=mx+b

-5=0(3)+b

0(3)-5=b

-5=b

y=x-5

Correct me if im wrong

8 0

2 years ago