3 years ago

What would the inverse be?

1 answer:

8 0

Find the inverse of f(x)=2x-3.

1) replace "f(x)" with "y." Then y=2x-3.
2) interchange x and y. Then x=2y-3. x+3
3) solve this result for y. Then 2y=x+3, or y=----------------
2
-1 -1 x+3
4) replace y with f (x): f (x) = ---------
2

This is the procedure, with the answer given.

You might be interested in

OOOO

lbvjy [14]

Step-by-step explanation:

Given bi-quadratic equation is:

$x^4+95x^2 -500=0$

Substituting $x^2=a,$ given bi-quadratic equation reduces in the form of following quadratic equation:

$a^2 +95a -500=0\\$

Let us factorize the above quadratic equation:

$a^2 +95a -500=0\\\therefore\: a^2 +100a -5a-500=0\\\therefore\: a(a +100) -5(a+100)=0\\\therefore\: (a +100)(a -5)=0\\\therefore\: (a +100)=0\:\: or \:\: (a -5)=0\\\therefore\: a = - 100\:\: or \:\: a = 5\\\\CASE\: (1)\:\\When\: a = - 100 \implies x^2 = - 100\\\therefore x=\pm \sqrt{-100}\\$