Answer:
Step-by-step explanation:
<h3><u>Given functions:</u></h3>Subtract both functions
(f-g)(x) = 4x² - 6 - (x² - 4x - 8)
(f-g)(x) = 4x² - 6 - x² + 4x - 8
Combine like terms
(f-g)(x) = 4x² - x² + 4x - 6 - 8
(f-g)(x) = 3x² + 4x - 14
Answer:
Step-by-step explanation:
An <em>inverse</em> function is any function that "undoes" another function. If we think of the function as some kind of machine that takes in a number
as input and produces a number
as an output, when we give inverse function
the number
as in input, we get
, our original input, as the output
We need a function that undoes , and the natural choice for undoing an exponent is with a logarithm. Here, our base is
, so we'll choose
as our inverse function. Let's see how that works:
is the power we have to raise
to to get
, which is
, so
And we have our function.
Answer:
31 feet
Step-by-step explanation:
Given: The length of ladder, leaned against wall= 32 foot
The base of ladder is 8 feet away from wall
Adjacent= 8 feet and Hypotenuse= 32 foot
we need to find height of wall till the ladder reach (Opposite).
We will use Pythagorean theorem;
⇒
⇒
subtracting both side by 64
⇒
⇒ ≅ 31 ft
∴ 31 ft high up the wall.