Answer:
2
we know that and means adding so.
from the question
2+2/3-1+1/3
=1+2/3+1/3
=(3+2+1)/3
=6/3
=2
Answer: A. f(g(x)) =x and g(f(x))=x and f and g are inverses.
Step-by-step explanation:
A function <em>g</em> is the inverse of function <em>f</em> if
<em>f(g(x)) = g(f(x))=x</em>
Given: f(x)= x+4 , g(x) = x-4
f(g(x)) = f(x+4) = (x-4)+4
= x-4+4 = x
i.e. f(g(x)) =x
g(f(x))= g(x-4) = (x-4)+4 =x
i.e. g(f(x))=x
Hence, f(g(x)) =x and g(f(x))=x and f and g are inverses.
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the 2 other sides, that is
x² + 6² = 17²
x² + 36 = 289 ( subtract 36 from both sides )
x² = 253 ( take the square root of both sides )
x = 
→ C
Answer:
C.
Step-by-step explanation:
The equation for the slope of a line is y2-y1/x2-x1, and both triangles have the same slope equation for their hypotenuse.
To find the reciprocal, just switch the numerator and denominator around.
-8b
___
5b-6
Reciprocal:
5b - 6
______
-8b
