Answer:
1) f(g(x))=x
g(f(x))=x
2) f(x) and g(x) are inverses of each other.
Step-by-step explanation:
The given functions are :
and
1) We want to find:
This implies that:
We substitute into f(x) to get:
Also,
2) Since the composition of the two functions:
f(x) and g(x) are inverses of each other.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.
Given that Y varies directly with X, and Y = 15 and X = 5, if we introduce a constant of proportionality, k, the expression becomes
15 = 5k
k = 15/5
k = 3
The equation would be
Y = 3X
Therefore, when X = 9, the value of Y would be
Y = 3 × 9
Y = 27
Here, 1/7 = 3/4x + 1
3/4x = 1/7 - 1
3/4x = -6/7
x = -6/7 * 4/3
x = -2/7 * 4
x = -8/7
In short, Your Answer would be -8/7
Hope this helps!
Answer:
One-half squared is one-fourth.
Step-by-step explanation:
When you divide fractions, you multiply the first term by the reciprocal of the second term. In this example, instead of multiplying 1/2 by 1/4, you now multiply 1/2 by 4. Therefore, one half is equal to 2 fourths.
