Let g the inverse function of f.
The most important property of g and f being inverses of each other, is that
g(f(x))=x, also f(g(x))=x
so, what one function 'does' to x, the other 'undoes' it.
Thus, we have:
f(g(x))=x and alos f(g(x))= -g(x)+3, from the rule
thus :
-g(x)+3=x
-g(x)=x-3
g(x)=-x+3
check: f(g(x))=f(-x+3)=-(-x+3)+3=x-3+3=x
Answer: the inverse of f is g, such that g(x)=-x+3
Answer:
28 times
Step-by-step explanation:
On a fair die, the probability of rolling a 6, the only number greater than 5, is 1/6. So in 168 rolls of this die, Malachy can expect a 6 on 1/6 × 168, or 28 times.
Answer:
t = -1/8.
Step-by-step explanation:
t / 5/12 = -3/10 Invert the 5/12 and multiply:
12t / 5 = -3/10
Cross multiply:
12t * 10 = 5 * -3
120t = -15
t = -15/120 = -1/8.
It'll be 60 if you divided there is your actually answer
Answer:
y=29
Step-by-step explanation:
Since the angles are across a vertex from one another, they are congruent and equal. You can also see this by reflecting or folding it in half through the vertex. They will be the same. This means we can write the following equation and solve using inverse operations:
4y-8=79+y
4y-y-8=79+y-y
3y-8=79
3y-8+8=79+8
3y=87
y=29