Given:
To find:
Whether f(x) and g(x) are inverse of each other by using that f(g(x)) = x and g(f(x)) = x.
Solution:
We know that, two function are inverse of each other if:
and 
We have,
Now,
![[\because g(x)=\dfrac{8}{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%28x%29%3D%5Cdfrac%7B8%7D%7Bx%7D%5D)
![[\because f(x)=\dfrac{8}{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3D%5Cdfrac%7B8%7D%7Bx%7D%5D)
Similarly,
Since, and , therefore, f(x) and g(x) are inverse of each other.
Answer:
150 students
Step-by-step explanation:
60% = 0.6
x + 0.6x = 240
1.6x = 240
x = 240/1.6
x = 150
Answer:
₹996
Step-by-step explanation:
Area painted = area of wall - area of wall posture
Area of a rectangle = length x breadth
= 10.5m x 8.5m = 89.25m^2
Area of a square
length x length
2.5m x 2.5m = 6.25m^2
Area painted = 89.25m^2 - 6.25m^2 = 83m^2
Total cost of area painted = 83m^2 x 12 = 996
Answer:
1080 m^2 Don't submit m^2 in your answer.
Step-by-step explanation:
Givens
The catch is to find h
To do that, use a^2 + b^2 = c^2
a b and c are in the same 1/2 triangle.
a = 48/2 = 24 m
b = h = ?
c = 51 meters
Solution
a^2 + b^2 = 51^2 Substitute for b^2 = h^2
24^2 + h^2 = 51^2 Expand 24^2 and 51^2
576 + h^2 = 2601 Subtract 576 from both sides
h^2 = 2601 - 576
h^2 = 2025 Take the square root of both sides
h = 45
Area
Area = 1/2 b * h
Area = 1/2 48 * 45
Area = 1080
Remark
Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.
To find the area, you need to use all of 48 because 48 is the full length of the base.
For the sake of example, let's multiply the two numbers
and
together. Altogether, we have:
Rearranging the expression, we can group the exponents and coefficients together:
Multiplying each out, we notice that since
and
have the same base (10), multiplying them has the effect of adding their exponents, which leaves us with:
The takeaway here is that multiplying two numbers in scientific notation together has the effect of multiplying its coefficients and <em>adding</em> its exponents.
