Notice that half of the coefficient of x is (1/2)(-4), or -2.
Then x^2 - 4x becomes
x^2 - 4x + 4 - 4 = 0, or (x -2)^2 = 4. Then x = -2 plus or minus 2, and the two roots are 0 and -4.
Thus, add 4 to both sides to obtain x^2 - 4x + 4 = 4.
Answer:
41. f⁻¹(x) = -9x + 4
43. m⁻¹(x) = ∛(x-2)/4
Step-by-step explanation:
41. y = (4-x)/9
swap x and y: x = (4-y)/9
solve y: 9x = 4-y
y = -9x + 4
45. y = 4x³+2
x = 4y³+2
4y³ = x-2
y³ = (x-2)/4
y = ∛(x-2)/4
Let you do 42 and 46 by yourself
Answer:
it doubles?
Step-by-step explanation:
Well I don't know. Let's figure it out together.
You said (a number) divided by 12 gives you 9 .
A fraction is the easiest way to show division, so
you can write this equation:
(number) / 12 = 9
Now you can multiply each side of the equation by 12 .
When you do that, you have ...
number = 9 x 12
<em>number = 108</em> .
Now you know how to find it. That's even better than just
having the answer.
Answer:
The inverse function is f(x) = x^2 - 3
Step-by-step explanation:
To find the inverse of any function, start by switching the x and f(x) values.
f(x) = √(x + 3)
x = √(f(x) + 3)
Now solve for the new f(x). The result will be your inverse function.
x = √(f(x) + 3)
x^2 = f(x) + 3
x^2 - 3 = f(x)
