Answer:
fog = 2√(x-1) + 1
Domain = [1, 
)
Step-by-step explanation:
Given the functions f(x)=2x+1 and g(x)=sqrt(x-1), we are to find the composite function fog
fog = f(g(x))
f(g(x)) = f(√(x-1))
f(√(x+1)) means that we are to replace variable x in f(x) with the function √(x-1)
f(√(x-1)) = 2(√(x-1))+1
f(√(x+1)) = 2√(x-1) + 1
fog = 2√(x-1) + 1
<em>For the function to exist on any real valued function, then the function inside square root i.e x-1 must be greater than or equal to zero (x-1≥0)</em>
If x-1≥0
x≥0+1
x≥1
This means the range of variable x must be values of x greater than or equal to 1.
Domain = [1, )
The ratio a:b is 3:8
Step-by-step explanation:
In simple words, the ratio a:b means the fraction a/b.
So we will have to solve the given equation for a/b
Given
Dividing both sides by 8
Dividing both sides by b
The ratio a:b is 3:8
Keywords: Ratios, Fractions
Learn more about ratios at:
#LearnwithBrainly
Answer:
The values of sin θ and cos θ represent the legs of a right triangle with a hypotenuse of 1; therefore, solving for cos θ finds the unknown leg, and then all other trigonometric values can be found.
Step-by-step explanation:
Hey, there!!
Let's simply work with it,
60° + 2x° + (2x+12)° = 180° { being a linear pair}.
or, 72° + 4x = 180°
4x = 180° - 70°
Therefore, the value of x is 27°.
Now,
2x° = (2×27)°= 54°
(2x+12)° = 2×27°+12°= 66°.
(x+2)= 27+ 2= 29°
Now, The left angle is 27°.
Therefore, The answer is option A.
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer: (C) the number of groups
Step-by-step explanation: It cannot be the total because the total is 18, the size of the groups does not make sense because it seems that you are trying to find a total, and the difference makes no sense because this does not seem like a subtraction problem. (C) the number of groups makes sense because their is a total number of groups.
Hope this helps! :)
