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3 years ago

Which equation is the inverse of y=7x^2 - 10

Mathematics

1 answer:

4vir4ik [10]3 years ago

8 0

Answer:

Depends on domain of x, could be

-√(y+10)/7; √(y+10)/7 or no solutions

Step-by-step explanation:

You need to solve it for x:

y=7x^2-10

7x^2=y+10

x^2=(y+10)/7

In order for this equation to have an inverse, you need to check the domain of x. There needs to be only one solution for x^2=(y+10)/7 - either positive or negative, depending on the domain.

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3 years ago

WILL GIVE BRAINLIEST, THANKS, AND 5 STARS! PLEASE HELP ME!

Bogdan [553]

Answer:

-4 and 4

Step-by-step explanation:

Method 1

Apply Difference of Two Squares Formula: $a^2-b^2=(a+b)(a-b)$

Given $x^2-16=0$

Rewrite 16 as 4²

Therefore, $a^2=x^2$ and $b^2=4^2$

$\implies a = \sqrt{x^2}=x$

$\implies b=\sqrt{4^2} =4$

$\implies x^2-16^2=(x+4)(x-4)$

$\implies (x+4)(x-4)=0$

$\implies (x+4)=0 \implies x=-4$

$\implies (x-4)=0 \implies x=4$

Method 2

Given equation:

$x^2-16=0$

Add 16 to both sides:

$\implies x^2-16+16=0 + 16$

$\implies x^2=16$

Square root both sides:

$\implies \sqrt{x^2}=\sqrt{16}$

$\implies x=\pm4$

Therefore, x = -4, x = 4

6 0

2 years ago