3 years ago

The graph of the rational function f is shown. Which graph is the graph of g(x)=-f(x)?

Mathematics

2 answers:

katovenus [111]3 years ago

6 0

Answer:

pitcue not clear

Step-by-step explanation:

sergiy2304 [10]3 years ago

6 0

Answer:

Thats Not Correct! Thats NOT The correct answer TO THe Rii Picture

Step-by-step explanation:

You might be interested in

Part C: Write a function that vertically compresses f(x) by 1/4 units

inn [45]

Everything is in the picture. All transformations are on y so entire functions gets affected

8 0

3 years ago

How do you integrate arctan(x dx? i think that if you simplify the integral you get:?

Temka [501]

Integration by parts will help here. Letting $u=\arctan x$ and $\mathrm dv=\mathrm dx$ , you end up with $\mathrm du=\dfrac{\mathrm dx}{1+x^2}$ and $v=x$ . Now

$\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du$
$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx$

For the remaining integral, setting $y=1+x^2$ gives $\dfrac{\mathrm dy}2=x\,\mathrm dx$ , so

$\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C$

Putting everything together, you end up with

$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C$