3 years ago

P(x) = 2x² + 1 What is the inverse for p(x)?

Mathematics

1 answer:

Serhud [2]3 years ago

4 0

Answer:

$P^{-1} (x)=\sqrt{\frac{x-1}{2} }$

Step-by-step explanation:

1. $P(x)=2x^{2} +1$

2. $y=2x^{2} +1$

3. $x=2y^{2} +1$

4. $2y^{2} =x-1$

5. $y^{2} =\frac{x-1}{2}$

6. $y=\sqrt{\frac{x-1}{2} }$

7. $P^{-1} (x)=\sqrt{\frac{x-1}{2} }$

You might be interested in

The expression (x^-8) (x^3) is equivalent to the expression x^n. what is the value of n?

mash [69]

Answer:

n=-5

Step-by-step explanation:

You must multiply $x^{-8}*x^{3}$ . The laws of exponents state that when multiplying exponents of the same base, you can just add the exponents and raise the base to the sum of the exponents. So, $x^{-8}*x^{3}=x^{(-8+3)}=x^{-5}$ . Since our end product is $x^{-5}$ , n is equal to -5.