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Serjik [45]
4 years ago
10

G(n) = 2n + 4 f(n) = 2n^2 - 4 Find g(n) - f(n)

Mathematics
1 answer:
dolphi86 [110]4 years ago
7 0

Answer:

-2n^2+2n+8

Step-by-step explanation:

g=2n+4

f=2n^2-4

g-f = 2n+4 - (2n^2-4) = -2n^2+2n+8

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Read 2 more answers
. Find the inverse of the function below on the given interval and write it in the form yequalsf Superscript negative 1 Baseline
Elena L [17]

Answer:

The inverse of the function is f^{-1}(x)=\frac{x-5}{3}.

Step-by-step explanation:

The function provided is:

f (x)=3x+5

Let f(x)=y.

Then the value of <em>x</em> is:

y=3x+5\\\\3x=y-5\\\\x=\frac{y-5}{3}

For the inverse of the function, x\rightarrow y.

⇒ f^{-1}(x)=\frac{x-5}{3}

Compute the value of f[f^{-1}(x)] as follows:

f[f^{-1}(x)]=f[\frac{x-5}{3}]

               =3[\frac{x-5}{3}]+5\\\\=x-5+5\\\\=x

Hence proved that f[f^{-1}(x)]=x.

Compute the value of f^{-1}[f(x)] as follows:

f^{-1}[f(x)]=f^{-1}[3x+5]

               =\frac{(3x+5)-5}{3}\\\\=\frac{3x+5-5}{3}\\\\=x

Hence proved that f^{-1}[f(x)]=x.

8 0
3 years ago
What is the slope of the line that passes through the points(-7,-4) and (-11,-4) in simplest form
Alchen [17]

Answer:

0

Step-by-step explanation:

to find slope, you can use the formula y2 - y1 / x2 - x1

in this case (-4 - (-4)) / (-11 - (-7))

0/-4

slope is 0 which means that the line has a constant x or y (in this case y) so the line ends up looking like --------- instead of _—*

4 0
3 years ago
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