Answer:
D
Step-by-step explanation:
Given that
f(x)=-2x – 1
g(x) = -1/2x+1/2
I The function f( g(x)) = x for all real x.
-2(-1/2X + 1/2) - 1
X - 1 - 1
X - 2
II. The function glAx)) = x for all real x.
- 1/2( -2X - 1 ) + 1/2
X + 1/2 + 1/2
X + 1
III. Functions fand g are inverse functions
Inverse of f(x)
Y = -2x - 1
X = - 2Y - 1
- 2Y = X + 1
Y = - 1/2X - 1/2
Therefore, none of the above answers is correct.
The correct answer is therefore D
Answer:
Step-by-step explanation:
A supplementary angle is equal to 180 degrees. So subtract 96.7 degrees from 180. 180-96.7= 83.3 degrees
Your answer is 83.3 degrees.
Answer: ![3+\sqrt{2}](https://tex.z-dn.net/?f=3%2B%5Csqrt%7B2%7D)
Step-by-step explanation:
Given the following expression shown in the picture:
![\frac{7}{3-\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3-%5Csqrt%7B2%7D%20%7D)
You need to use a process called "Ratinalization".
By definition, using Rationalization you can rewrite the expression in its simplest form so there is not Radicals in its denominator.
Then, in order to simplify the expression, you can follow the following steps:
<em>Step 1</em>. You need to multiply the numerator and the denominator of the fraction by
, which is the conjugate of the denominator
.
<em>Step 2</em>. Then you must apply the Distributive property in the numerator.
<em>Step 3</em>. You must apply the following property in the denominator:
Therefore, applying the procedure shown above, you get:
![=\frac{(7)(3+\sqrt{2})}{(3-\sqrt{2})(3+\sqrt{2})}=\frac{21+7\sqrt{2}}{3^2-(\sqrt{2})^2}=\frac{21+7\sqrt{2}}{9-2}=\frac{21+7\sqrt{2}}{7}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%287%29%283%2B%5Csqrt%7B2%7D%29%7D%7B%283-%5Csqrt%7B2%7D%29%283%2B%5Csqrt%7B2%7D%29%7D%3D%5Cfrac%7B21%2B7%5Csqrt%7B2%7D%7D%7B3%5E2-%28%5Csqrt%7B2%7D%29%5E2%7D%3D%5Cfrac%7B21%2B7%5Csqrt%7B2%7D%7D%7B9-2%7D%3D%5Cfrac%7B21%2B7%5Csqrt%7B2%7D%7D%7B7%7D)
<em>Step 4</em>. You can observe that the expression can be simplified even more. Since:
![\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%2Bb%7D%7Bc%7D%3D%5Cfrac%7Ba%7D%7Bc%7D%2B%5Cfrac%7Bb%7D%7Bc%7D)
You get:
![\frac{21+7\sqrt{2}}{7}=\frac{21}{7}+\frac{7\sqrt{2}}{7}=3+\sqrt{2}](https://tex.z-dn.net/?f=%5Cfrac%7B21%2B7%5Csqrt%7B2%7D%7D%7B7%7D%3D%5Cfrac%7B21%7D%7B7%7D%2B%5Cfrac%7B7%5Csqrt%7B2%7D%7D%7B7%7D%3D3%2B%5Csqrt%7B2%7D)
Answer:
On their 25th anniversary, their account will have $850
Step-by-step explanation:
7% per year for 25 years is 170%
170% of 500 is 850
I hope this helps!
Answer:
invalid conclusion
Step-by-step explanation: