What is the equation of the line? (-2,-3) and (1,-3)

Mathematics

1 answer:

Wewaii [24]2 years ago

3 0

Answer:

y=3

Step-by-step explanation:

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F(x)= x+28/x-7 for inverse functions

ioda

The inverse function of the given function is $\mathbf{= \dfrac{28+7x}{x-1}}$

<h3>What is the inverse of a function?</h3>

A function g is the inverse of a function f, if and only if the values of y= f(x), x = g(y).

From the formula given:

$\mathbf{y=f(x) = \dfrac{x+28}{x-7}}$

Let's substitute x with y;

$\mathbf{y= \dfrac{x+28}{x-7}}$

$\mathbf{x=\dfrac{y+28}{y-7}}$

Solve for y;

$\mathbf{= \dfrac{28+7x}{x-1}}$

Learn more about solving inverse functions here:

brainly.com/question/3831584

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8 0

2 years ago

Let r3 have the euclidean inner product. let u = (-1, 1, 1) and v = (-7, 6, 15). if ||ku + v||= 7, what is k? give the exact ans

amm1812

Ma $k\mathbf u+\mathbf v=k(-1,1,1)+(-7,6,15)=(-k-7,k+6,k+15)$

Recall that for a vector $\mathbf x\in\mathbb R^n$ , we have $\|\mathbf x\|=\sqrt{\mathbf x\cdot\mathbf x}$ . So we have

$\|k\mathbf u+\mathbf v\|=\sqrt{(k\mathbf u+\mathbf v)(k\mathbf u+\mathbf v)}=7$
$\implies k^2\mathbf u\cdot\mathbf u+2k\mathbf u\cdot\mathbf v+\mathbf v\cdot\mathbf v=49$
$\implies3k^2+56k+261=0$
$\implies k=-9,-\dfrac{29}3$