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Find the inverse function of<br> y =x-5/6

kirill115 [55]

$f(x) = y = x - \frac{5}{6} \\$

Subtract the sides of the equation plus 5/6

$y + \frac{5}{6} = x \\$

So ;

${f}^{ - 1}(x) = x + \frac{5}{6} \\$

_________________________________

And we're done.

Thanks for watching buddy good luck.

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5 0

3 years ago

Read 2 more answers

Could you please answer this precisely. Thank you!

OleMash [197]

The mathematical functions (equations) are matched to their graph line respectively as follows:

y = 960 - 78x: purple straight line.
y = 8·3^x: violet line curve that slopes to the left.
y = 960·(1/2)^x: green line curve that slopes to the right.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate. Mathematically, a linear function is given by this equation:

y = mx ± c.

<h3>What is an exponential function?</h3>

An exponential function can be defined as a type of mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:

f(x) = keˣ

Next, we would match each of the mathematical functions (equations) to their graph line respectively as follows:

y = 960 - 78x: purple straight line.
y = 8·3^x: violet line curve that slopes to the left.
y = 960·(1/2)^x: green line curve that slopes to the right.

Read more on graphs here: brainly.com/question/24298987

#SPJ1

3 0

2 years ago

Simplify: (2^2 + 3^4)−^2

Lisa [10]

$\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (2^2+3^4)^{-2}\implies (4+81)^{-2}\implies 85^{-2}\implies \cfrac{1}{85^2}\implies \cfrac{1}{7225}$

5 0

3 years ago

Read 2 more answers

Tanner and Zach both play basketball. In a game, Tanner scored six points. Zach scored four times as many times as Tanner. How m

MAVERICK [17]

Answer:

24

Step-by-step explanation:

Tanner has <u>6 points</u> so T = 6

Zach has <u>four times as many</u> so Z = 4T

4 * T

= 4 * 6

which is 24.

8 0

3 years ago

The distance between city A and B is 600 km. The first train left A and headed towards B at the speed of 60 km/hour. The secon

hoa [83]

$\bf \begin{array}{ccccllll}
&distance&rate(km/hr)&time(hrs)\\
&\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\\
A&d&60&t\\
B&600-d&v&t+3
\end{array}$

$\bf \textit{meaning}\implies 
\begin{cases}
d=(60)(t)
\\ \quad \\
600-d=(v)(t+3)\\
------------\\
d=\boxed{60t}\qquad thus
\\ \quad \\
600-\boxed{60t}=v(t+3)\leftarrow \textit{solve for "t"}
\end{cases}$

keep in mind, that "t" is the time when the train at A station, left towards B station

they met, at some time "t", and by the time that happened, train from A
which started 3 hours earlier, had already covered "d" distance,
whatever that is
and the train coming from B, covered, 600-d, or the difference

8 0

3 years ago