All categories

3 years ago

Determine the equation of the inverse of y=2^3x-1

Mathematics

2 answers:

givi [52]3 years ago

6 0

Answer:

f^-1(x)= 1/3+In(x)/3 In(2)

Step-by-step explanation:

Leya [2.2K]3 years ago

5 0

Answer:

f^-1(y) =[ In(x-2) + 1] /3

Step-by-step explanation:

The inverse of this expression is to find x

Now taking In of both sides we have

y=2^3x-1

In y = In2^3x-1

In y = (3x- 1)In 2

(Iny / In2) + 1= 3x

x =[ (Iny / In2) + 1] /3

Therefore the inverse of y is

f^-1(y) =[ (Inx / In2) + 1] /3

f^-1(y) =[ In(x-2) + 1] /3

You might be interested in

0.005 is 1/10 of 0.05 true or false

7nadin3 [17]

False, it would be 0.005 is 5/10 of 0.05. also can you pls answer my question!

7 0

2 years ago

Read 2 more answers

Solve. - 1/3b = 9 A. -3 B. 3 C. - 27 D. 27

ruslelena [56]

$-\dfrac{1}{3}b=9\ \ \ |multiply\ both\ sides\ by\ (-3)\\\\-3\cdot\left(-\dfrac{1}{3}b\right)=-3\cdot9\\\\\huge\boxed{b=-27}\leftarrow\boxed{C}$

3 0

3 years ago

Read 2 more answers

Simplify (5+1)^2-(12+3^2)/3

lakkis [162]

Answer:

Step-by-step explanation:

Simplify the expression $(5+1)^2-\dfrac{12+3^2}{3}$ step by step:

$(5+1)^2=6^2=6\cdot 6=36$

$\dfrac{12+3^2}{3}=\dfrac{12+3\cdot 3}{3}=\dfrac{12+9}{3}=\dfrac{21}{3}=7$

Now,

$(5+1)^2-\dfrac{12+3^2}{3}=36-7=29$

3 0

3 years ago

Read 2 more answers

Can someone help please !! I appreciate it

kkurt [141]

ANSWER
x=2
EXPLANATION
I’m smart don’t worry

7 0

2 years ago

Read 2 more answers

A jeweler is making a triangular pendant. He has two sides of length 23 mm and 31 mm. What are the

denis-greek [22]

Answer:

38.60mm

Step-by-step explanation:

Step one:

Given data

We are given that the dimension of the triangles are length 23 mm and 31 mm

Let us assume that the triangle is a right angle triangle

Step two:

Applying the Pythagoras theorem we can find the third as

$z^2= x^2+y^2\\\\z^2= 31^2+23^2\\\\z^2= 961+529\\\\z^2= 1490\\\\$

square both sides

z= √ 1490

z= 38.60mm

Hence a possible dimension of the third side is 38.60mm

3 0

3 years ago