All categories

3 years ago

Whats the area of the figure?

Mathematics

1 answer:

hjlf3 years ago

3 0

You multiply all around

You might be interested in

PLEASE HELP!!!!<br> Which of these pair of functions are inverse functions?

Mamont248 [21]

Answer:

Option B and C are correct.

Step-by-step explanation:

Inverse function: If both the domain and the range are R for a function f(x), and if f(x) has an inverse g(x) then:

$f(g(x)) = g(f(x)) = x$ for every x∈R.

Let $f(x) = \frac{1}{2}(\ln(\frac{x}{2}) -1)$ and $g(x) = 2e^{2x+1}$

Use logarithmic rules:

$ln e^a = a$

$e^{lnx} = x$

$\ln a^b = b\ln a$

then, by definition;

$f(g(x)) = f(2e^{2x+1}) =\frac{1}{2}(\ln(\frac{2e^{2x+1}}{2})-1)$ = $\frac{1}{2}(\ln(e^{2x+1}}){-1) = \frac{1}{2} (2x+1-1) =\frac{1}{2}(2x) = x$

$g(f(x)) = g(\frac{1}{2}(\ln(\frac{x}{2}) -1)) = 2e^{2({\frac{1}{2}(\ln(\frac{x}{2}) -1})+1$ $2e^{(\ln(\frac{x}{2}) -1+1}=2e^{\ln(\frac{x}{2})} =2\cdot \frac{x}{2} = x$

Similarly;

for $f(x) = \frac{4 \ln(x^2)}{e^2}$ and $g(x) = e^{\frac{e^2 \cdot x}{8} }$

then, by definition;

$f(g(x)) = f(e^{\frac{e^2 \cdot x}{8}}) =\frac{4 \ln {(\frac{e^2 \cdot x}{8})^2}}{e^2}$ = $\frac{8 \ln {(\frac{e^2 \cdot x}{8})}}{e^2} =\frac{8\frac{e^2\cdot x}{8} }{e^2}=\frac{8e^2 \cdot x}{8e^2}=x$

Similarly,

g(f(x)) = x

Therefore, the only option B and C are correct. As the pairs of functions are inverse function.

3 0

3 years ago

Help please thanks multiple choice..........

Aleksandr [31]

I thick it's c but please don't put it if it is wrong

5 0

3 years ago

Read 2 more answers

What is the probability of rolling a 1 or 2 when a six-sided die is rolled 700 times. Round your answer to the nearest whole num

Maurinko [17]

Answer: B. 233 (rounded)

Step-by-step explanation:

1: 700/6= 166.6

2: 166.6+166.6=233.332

3 round to 233

6 0

2 years ago

Read 2 more answers

Solve for X<br> 6(x + 2) = 66<br> X =

ioda

Answer:

6(x+2)=66

6x+12=66 -12

6x= 54 :6

x=9

Step-by-step explanation:

prove me wrong

4 0

2 years ago

the volume of a cube is 64in squared (2). what’s the length of each side of the cube please help asap

blsea [12.9K]

Answer:

4in squared

Step-by-step explanation:

We know that cubes have equal parts all around, and it is basic knowledge for the most part to know 4x4x4 = 64. Therefore, each length must be 4, length, width,and height are all 4.

8 0

2 years ago