Geometry help? fill in the blanks accurately pleathe

Mathematics

1 answer:

zlopas [31]3 years ago

4 0

I believe you would want to rotate 90°, then rotate 180°. In case I'm wrong I graphed it out as well so you can double check. The pic is below (I think).

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Y=log(x-3) what would be the base?

timurjin [86]

By definition, if :

$a^y = b$

$y = log_a b$

We highlight the following elements:

a = Base of the logarithm;
b = logarithmand or antilogarithm
y = logarithm

Therefore:

Note that since the base was not specified, we know that it is equal to 10.

$y = log_a b$
$y = log_{10} (x-3)$
$10^y = (x-3)$

Answer:

Base of the logarithm = 10

4 0

3 years ago

Which describes the behavior of the function f(x)= tan^-1(x)?

Fantom [35]

Answer:

Third Option

Step-by-step explanation:

We know that the function $tan(x)$ is defined as $y=\frac{sin(x)}{cos(x)}$ . Since the denominator is $cos(x)$ then we know that $cos(x)=0$ when $x=\frac{\pi}{2}$

We also know that the division by 0 is not defined. Therefore, the limit of $y=tan(x)$ when "x" tends to $\frac{\pi}{2}$ is infinite.

The function $tan^{-1}(x)$ is the inverse of $tan(x)$

By definition, if we have a function f(x), its domain will be equal to the range of its inverse function $f^{-1}(x)$ . If $f(3)=8$ , then $f^{-1}(8)=3$