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3 years ago

If f(x) = 4(3x - 5), find f^-1(x)

Mathematics

1 answer:

Sloan [31]3 years ago

3 0

Answer:

The answer is A.

Step-by-step explanation:

Lets call f(x)=y, so y= 4*(3*x-5), we want to find 'x', using 'y' as a the variable.

$y=12x-20\\ y+20=12x\\ x=\frac{y+20}{12}$

Now lets change the name of 'y' to 'x', and 'x' to f^-1(x).

f-1(x) = (x+20)/12

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Jennifer had 7/8 foot board she cut off 1/4 foot peice that was for a project.in feet how much board was left?

guapka [62]

$\frac{5}{8} \text{ feet board is left }$

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

Given that, Jennifer had 7/8 foot board she cut off 1/4 foot peice that was for a project

To find: Board that was left

From given,

$\text{Total length of board } =\frac{7}{8} \text{ feet }$

$\text{Foot that was cut off } = \frac{1}{4} \text{ feet }$

Remaining feet of board is found by finding the difference between total length of board and foot that was cut off

$\text{Reamining board } = \text{Total length of board - feet of board that was cut off}\\$

Substituting the values we get,

$\text{Remaining board } = \frac{7}{8} - \frac{1}{4}\\\\\text{Remaining board } =\frac{7}{8} - \frac{1 \times 2}{4 \times 2}\\\\\text{Remaining board } =\frac{7}{8} -\frac{2}{8} = \frac{7-2}{8}\\\\\text{Remaining board } =\frac{5}{8}$

Thus $\frac{5}{8}$ feet board is left

5 0

3 years ago

Fill in the missing values to make the equations true.

azamat

Step-by-step explanation:

Some of the property of log are as follows :

1. $\text{log a}-\text{log b}=\text{log} \dfrac{\text{a}}{\text{b}}$

2. $\text{log a}+\text{log b}=\text{log}(a{\cdot} b)$

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Now coming to question,

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(b) $\text{log 1}+\text{log 3}=\text{log}(1{\cdot} 3)=\text{log} 3$ (using property 2)

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