Answer:
7x² + x – 2
Step-by-step explanation:
(4x² + 3) – (–3x² – x + 5)
First, distribute the minus sign to eliminate the parentheses (negative terms become positive and vice versa):
4x² + 3 + 3x² + x – 5
Then, combine like terms:
7x² + x – 2
The answer to your problem is a<-2
Answer:
= 3n + 1 , n≥ 1
Step-by-step explanation:
The common difference of the sequence = 3 , so it is an arithmetic sequence.
The formula for the nth term of an arithmetic sequence is given as:
= a + (n-1)d
substituting the values of a and d , we have
= 4 + (n-1) X 3
= 4 + 3n - 3
= 1 + 3n
= 3n + 1 , n≥ 1
Answer:
![f^{-1}(x)=4(x+5)](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D4%28x%2B5%29)
Step-by-step explanation:
So we have the function:
![f(x)=\frac{x}{4}-5](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7Bx%7D%7B4%7D-5)
To find the inverse of a function, switch f(x) and x, change f(x) to f⁻¹(x), and solve for it. Thus:
![x=\frac{f^{-1}(x)}{4}-5](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bf%5E%7B-1%7D%28x%29%7D%7B4%7D-5)
Add 5 to both sides:
![x+5=\frac{f^{-1}(x)}{4}](https://tex.z-dn.net/?f=x%2B5%3D%5Cfrac%7Bf%5E%7B-1%7D%28x%29%7D%7B4%7D)
Multiply both sides by 4:
![f^{-1}(x)=4(x+5)](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D4%28x%2B5%29)
And we're done!
Hope this helps!