Which function is the inverse of f(x) = 2x + 3?

Mathematics

2 answers:

lianna [129]4 years ago

8 0

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

The easiest way to find the inverse is to switch x and y and solve for y.

y = 2x + 3

x = 2y + 3 (Switch)

x-3 = 2y (Subtract y from both sides)

x/2 - 3/2 = y (Divide both sides by 2)

klemol [59]4 years ago

8 0

Answer:

The inverse is 1/2x -3/2

Step-by-step explanation:

y = 2x+3

To find the inverse, exchange x and y

x = 2y+3

Solve for y

Subtract 3 from each side

x-3 = 2y+3-3

x-3 =2y

Divide each side by 2

x/2 -3/2 = 2y/2

1/2x -3/2 =y

The inverse is 1/2x -3/2

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The volume of a sphere is 1928pi m^3. what is the surface area of the sphere to the nears tenth

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$\bf \begin{array}{llll}
\textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\\
----------\\
\textit{surface area of a sphere}\\\\
S=4\pi r^2
\end{array}\qquad r=radius\\\\
-----------------------------\\\\
V=1928\implies 1928=\cfrac{4\pi r^3}{3}\implies \cfrac{3\cdot 1928}{4\pi }=r^3
\\\\\\
\sqrt[3]{\cfrac{3\cdot 1928}{4\pi }}=\boxed{r}\qquad thus
\\\\\\
S=4\pi \left( \boxed{\sqrt[3]{\cfrac{3\cdot 1928}{4\pi }}} \right)^2$