(f∘g)(x) is equivalent to f(g(x)). We solve this problem just as we solve f(x). But since it asks us to find out f(g(x)), in f(x), each time we encounter x, we replace it with g(x).
In the above problem, f(x)=x+3.
Therefore, f(g(x))=g(x)+3.
⇒(f∘g)(x)=2x−7+3
⇒(f∘g)(x)=2x−4
Basically, write the g(x) equation where you see the x in the f(x) equation.
f∘g(x)=(g(x))+3 Replace g(x) with the equation
f∘g(x)=(2x−7)+3
f∘g(x)=2x−7+3 we just took away the parentheses
f∘g(x)=2x−4 Because the −7+3=4
This is it
g∘f(x) would be the other way around
g∘f(x)=2(x+3)−7
now you have to multiply what is inside parentheses by 2 because thats whats directly in front of them.
g∘f(x)=2x+6−7
Next, +6−7=−1
g∘f(x)=2x−1
Its a lts easier than you think!
Hope this helped
Answer:
$25
Step-by-step explanation:
From the above question, we are told that:
Mais bank account is overdrawn by 60$, which means her balance is -$60. She gets 85$ for her birthday and deposits it into her account.
The amount she has in her bank account is calculated as:
Her current account balance + The amount she got for her birthday
Hence:
- $60 + $85
= $25
The amount she has in her bank is $25
Answer:
Hi! I think I got the answer, it is a tricky one! The answer I got was C) 1029.
Step-by-step explanation:
1. It is good to first know that 40%more means 1.4 (some number). So, if n is 40% more than the sum of the other three numbers: n= 1.4* (<em>l +m+p)</em> .
2. Also note that: <em>n+l+m+p= </em>1764; so, <em>n = 1764-l-m-p.</em>
3. Since we have two expressions for n, we can equate them to each other. Giving, 1.4* (<em>l +m+p) =1764-l-m-p . </em>Simplifying we get 2.4 (<em>l +m+p)</em>=1764.
4. <em>l +m+p =1764/2=735.</em>
5. 1764-735=1029
Hope that helps! Feel free to message back if there are any questions!
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Answer:
(x + 1)^2 + (y + 2)^2 = 106
Step-by-step explanation:
The formula for a circle is
(x - h)^2 + (y - k)^2 = r^2
Where (h, k) is the center of the circle and r is the raadius
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The center is the midpoint of the diameter end points
(h, k) = ( (-6 + 4)/2 , (-11 + 7)/2 )
(h, k) = (-1, -2)
The radius is the distance from the center to an endpoint
Using (h, k) and Q
r^2 = (4 - -1)^2 + (7 - -2)^2
r^2 = 5^2 + 9^2
r^2 = 106
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Plug into the circle formula
(x + 1)^2 + (y + 2)^2 = 106
