Answer:
c
Step-by-step explanation:
Answer:
A
Explanation:
For functions to be inverse, it must be true that f( g(x) ) = x and g( f(x) ) = x.
But for F( G(x) ), we have √( G(x) - 3 ) + 8
= √( (x+8)² - 3 - 3 ) + 8
= √( (x+8)² - 6 ) + 8
This -6 part should be cancelled out for functions to work out but we cannot do that, therefore F(x) and G(x) are not inverse.
Answer:
475
Step-by-step explanation:
i divided the two numbers and got 556 so your estimate should be 475
65 x 11 I have 2m and a few other people that are not interested to see if they can easily get the best of their time and will
The question is somewhat poorly posed because the equation doesn't involve <em>θ</em> at all. I assume the author meant to use <em>x</em>.
sec(<em>x</em>) = csc(<em>x</em>)
By definition of secant and cosecant,
1/cos(<em>x</em>) = 1/sin(<em>x</em>)
Multiply both sides by sin(<em>x</em>) :
sin(<em>x</em>)/cos(<em>x</em>) = sin(<em>x</em>)/sin(<em>x</em>)
As long as sin(<em>x</em>) ≠ 0, this reduces to
sin(<em>x</em>)/cos(<em>x</em>) = 1
By definition of tangent,
tan(<em>x</em>) = 1
Solve for <em>x</em> :
<em>x</em> = arctan(1) + <em>nπ</em>
<em>x</em> = <em>π</em>/4 + <em>nπ</em>
(where <em>n</em> is any integer)
In the interval 0 ≤ <em>x</em> ≤ 2<em>π</em>, you get 2 solutions when <em>n</em> = 0 and <em>n</em> = 1 of
<em>x</em> = <em>π</em>/4 <u>or</u> <em>x</em> = 5<em>π</em>/4
