Answer:
x² + 2x - 5
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= 2x + 3 + x² - 8 ← collect like terms
= x² + 2x - 5
Given that AB = 16, BC = 5, and CD = 3, which is the length of secant DE?It might be useful to see ...
11662 - 20%= 9329.6 add sales tax 6 3/4 % or 6.75% =$9,959.348 or $9,9959.35
Answer:
$0.9 per pound
Step-by-step explanation:
$2.25 divided by 2.5
ANSWER
y=x
y=x³
EXPLANATION
A function, f(x) has an inverse if and only if
![f(a) = f(b) \Rightarrow \: a = b](https://tex.z-dn.net/?f=f%28a%29%20%3D%20f%28b%29%20%20%20%5CRightarrow%20%5C%3A%20a%20%3D%20b)
Thus, the function is one to one.
For y=x or
![f(x) = x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x)
![f(a) = f(b) \Rightarrow \: a = b](https://tex.z-dn.net/?f=f%28a%29%20%3D%20f%28b%29%20%20%20%5CRightarrow%20%5C%3A%20a%20%3D%20b)
Hence this function has an inverse.
For the function y=x² or f(x)=x².
![f(a) = f(b) \Rightarrow \: {a}^{2} = {b}^{2} \Rightarrow \: a = \pm \: b](https://tex.z-dn.net/?f=f%28a%29%20%3D%20f%28b%29%20%20%20%5CRightarrow%20%5C%3A%20%20%7Ba%7D%5E%7B2%7D%20%3D%20%20%7Bb%7D%5E%7B2%7D%20%5CRightarrow%20%5C%3A%20a%20%3D%20%20%5Cpm%20%5C%3A%20b)
This function has no inverse on the entire real numbers.
For the function y=x³ or f(x)=x³
![f(a) = f(b) \Rightarrow \: {a}^{3} = {b}^{3} \Rightarrow \: a = b](https://tex.z-dn.net/?f=f%28a%29%20%3D%20f%28b%29%20%20%20%5CRightarrow%20%5C%3A%20%20%7Ba%7D%5E%7B3%7D%20%3D%20%20%7Bb%7D%5E%7B3%7D%20%5CRightarrow%20%5C%3A%20a%20%3D%20b)
This function also has an inverse.
For y=x⁴ or f(x) =x⁴
![f(a) = f(b) \Rightarrow \: {a}^{4} = {b}^{4} \Rightarrow \: a = \pm \: b](https://tex.z-dn.net/?f=f%28a%29%20%3D%20f%28b%29%20%20%20%5CRightarrow%20%5C%3A%20%20%7Ba%7D%5E%7B4%7D%20%3D%20%20%7Bb%7D%5E%7B4%7D%20%5CRightarrow%20%5C%3A%20a%20%3D%20%20%5Cpm%20%5C%3A%20b)
This function has no inverse over the entire real numbers.