Answer:I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I. I
Step-by-step explanation:
Answer:
Answer:
f(g(x)) = g(f(x)) = x and f and g are the inverses of each other.
Step-by-step explanation:
Here, the given functions are:
To Show: f (g(x)) = g (f (x))
(1) f (g(x))
Here, by the composite function:
⇒ f (g(x)) = x
(2) g (f(x))
Here, by the composite function:
⇒ g (f(x)) = x
Hence, f(g(x)) = g(f(x)) = x
⇒ f and g are the inverses of each other.
Answer:
4 1/12
Step-by-step explanation:
make all the denominators 12 so u can add them easier
2 1/12 + 2 4/12 + 3 2/12 = 7 7/12
nn subtract from the 11 2/3
11 8/12 - 7 7/12 = 4 1/12
Answer:
<BAC = 78
<ABC = 68
Step-by-step explanation:
The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,
<BAC + <ABC = <ACD
Substitute,
(5y + 3) + (4y + 8) = (146)
Simplify,
9y + 11 = 146
Inverse operations,
9y + 11 = 146
-11 -11
9y = 135
/9 /9
y = 15
Now substitute this value back into the expressions to find the numerical measurement of (<BAC) and (<ABC),
<BAC = 5y + 3
5(15) + 3
78
<ABC = 4y + 8
4(15) + 8
68
Answer:
451
Step-by-step explanation:
