(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
Find the cube root of 125. ∛125 = 5. Each side length will be 5 inches.
To solve this problem you must apply the proccedure shown below:
1- You have that the laddder makes an angle of 
with the ground and the top of the ladder reaches 
.
2- Therefore, you have:
Where:
3-You must substitute values and solve for the lenght, as following:
Therefore, the answer is: 
Answer:
c
Step-by-step explanation:
-3<x<3 is equal to |x|<3
Combine like terms first:
0.5x+12x=12.5x
12.5x=5
5/12.5 is the answer
