What is the inverse of the function f(x) = x +3?

Mathematics

2 answers:

Yanka [14]2 years ago

8 0

Answer:

C)h(x) = x-3

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" values, then isolate for "x".

f(x) is the y value.

y = x + 3

x = y + 3 Switch x and y

x - 3 = y Subtract 3 from both sides to isolate

y = x - 3 Change back to function of h

h(x) = x - 3

Elodia [21]2 years ago

8 0

Answer:

Step-by-step explanation:

hello :

note : g is the inverse of g : f0g = g0f = x

answer : C the inverse is : g(x) = x-3 because : (f0g)(x) = f(g(x))=f(x-3) = (x-3) +3 = x

and (g0f)(x) =g(f(x)) = g(x+3) = (x+3) - 3 = x

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Please help!? 5 Stars! :0 :(

zvonat [6]

OK. These problems are easy if you know the quadratic formula,
and they're impossible if you don't.

Here's the quadratic formula:

When the equation is in the form of Ax² + Bx + C = 0

then x = [ -B plus or minus √(B²-4AC) ] / 2A

I'm sure that formula is in your text or your study notes,
right before these questions. You should cut it out or
copy it, and tape it inside the cover of your notebook.
Then, you'll always have it when you need it, until
you have it memorized and can rattle it off.

The first question says 3x² + 5x + 2 = 0

Is this in the form of    Ax² + Bx + C = 0 ?

   Yes !       A=3 B=5   C=2

   so you can use the quadratic formula to solve it.

    x = [ -B plus or minus √(B²-4AC) ] / 2A

   = [ -5 plus or minus √(5² - 4·3·2) ] / 2·3

   = [ -5 plus or minus √(25 - 24) ] / 6

   = [ -5 plus or minus √1    ] / 6

   x =    -4 / 6 = -2/3
and
   x =    -6 / 6 = -1 .
_______________________________________

The second question says

   4x² + 5x - 1 = 0

Is this in the form of Ax² + Bx + C = 0 ?

   Yes it is ! A=4 B=5 C= -1

   so you can use the quadratic formula to solve it.

    x = [ -B plus or minus √(B²-4AC) ] / 2A

Now, you take it from here.

6 0

2 years ago

Karen is a software saleswoman. Her base salary is $2100, and she makes an additional $50 for every copy of English is Fun she s

Shalnov [3]

Karen has a base salary that is $2100 and does not depends on how many copies she sells.

Additional to the base salary, she gets $50 for each copy she sells, so we can write this additional salary as 50*N, being N the number of copies she sells.

Then, we can write the total pay P as: