Answer:
They are inverses since both composition equal x.
Step-by-step explanation:
Given the functions, f(x) = 3x + 1 and g(x) = (x-1) / 3, to check if they are inverses functions, we are to find the inverse of one of the function and check if it will give us the other function.
Let's look for the inverse of f(x).
Given f(x) = 3x+1
Let y = f(x) so that y = 3x+1
Replace y with x
x = 3y+1
Make y the subject of the formula of the resulting equation;
3y = x-1
y = (x-1)/3
The new function of x will be the inverse of f(x)
Hence f^-1(x) = (x-1)/3 = g(x)
Another way to check is to find their composition. Let's find f(g(x) and g(f(x)
F(g(x)) = f((x-1)/3)
Replace x with (x-1)/3 in f(x)
F(g(x)) = 3[(x-1)/3]+1
F(g(x)) = x-1+1
F(g(x)) = x
Similarly for g(f(x));
g(f(x)) = g(3x+1)
Replace x in g(x) with 3x+1
g(3x+1) = (3x+1-1)/3
g(3x+1) = 3x/3
g(3x+1) = x.
Since g(f(x)) = f(g(x)) = x, hence f(x) and g(x) are Inverses functions
Answer:
Since they are both congruent, set the two terms equal to each other to solve for x
5x+2=6x-5
5x+7=6x
7=x
x=7
5/8 = .625 which means that 5 is 62.5% of 8
4/7 = .571 which means that 4 is 57.1% of 7
hope this helps(;
Answer:
39.8 ml milk
Step-by-step explanation:
<u>DATA:</u>
<em>Total milk and butter cooper needs: 70.4 ml</em>
<em>Total butter needed: 30.6 ml</em>
<em>Total milk needed: m</em>
Milk + Butter = Total ml
m + 30.6 = 70.4
m = 70.4 - 30.6
m = 39.8 ml
Therefore, Cooper needs 39.8 ml milk for his recipe.
!!
35/35-14/35=21/35=0.6=60%