Answer:
(a) we are given two functions f(x) and g(x) as:
and 
Now we find out the composition maps fog and gof as:
Hence, 
similarly we find gof.
hence, 
as fog=gof=x this means that f and g are inverse of each other.
(b) the domain of f is given by: (-∞,4)∪(4,∞)
since, f is defined all over the real line except at 4 ; at 4 the function is not defined as the denominator is zero.
also g is defined everywhere except at 0; since at 0 denominator is 0.
hence, domain of g(x) is (-∞,0)∪(0,∞).
domain of the composition fog is the domain of the function g(x) ( as for defining fog we need to evaluate function g(x) first and then f(g(x)) ).
and domain of function gof is equal to domain of function f(x) ( as for defining gof we need to evaluate function f(x) first and then g(f(x)) ).
hence domain of fog=(-∞,0)∪(0,∞).
and domain of gof=(-∞,4)∪(4,∞)
Answer:
5cm
Step-by-step explanation:
- In order to find the area of a 2d regular shape such as a square, you need to do length × width = area
- A square has four regular sides, which means they must all be the same length, which in turn means that we only need to find one number, and it must be the square root of 25.
So, the length of each side is 5cm.
Hope this helped!
Answer: All the numbers can be shown on a number line upto infinity. Evan fractions and decimals can be shown on number line.
Step-by-step explanation:
We're given the hypotenuse and one side and we're looking for the missing side so use pythagorean.
20² - 16² = 144²
Square root of 144 = 12 feet
I Hope That I Am Not To Late, But The Answer Is D (7,4) <3
<u>Explanation </u>
2 x 7 = 14
5 x 4 = 20
14-20= -6
>>>
2 x 7= 14
7 x 4 = 28
14-28= -14
X= 7 & Y=4
Once again sorry if i am late, if others come I hope this helps UwU
