Factor each expression with negative terms. 0 -3 - p

Mathematics

1 answer:

dsp733 years ago

4 0

Answer:

-3-p

Step-by-step explanation:

0-3-p=-3-p

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If g(x)is the inverse of f(x)andf(x)=4x+12,what is g(x)?

ch4aika [34]

To find the inverse of a function, stick a y for the f(x).

So, f(x) = 4x + 12 becomes y = 4x + 12

Then switch the x and y.

So, y = 4x + 12 becomes x = 4y + 12

Then solve for y.

x = 4y + 12
x - 4y = 12 <-- Subtract both sides by 4y
-4y = 12 - x <-- Subtract both sides by x

y = $-3 + \frac{x}{4}$

So, the inverse of f(x) is g(x) = -3 + x/4.

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Sphinxa [80]

1) Answer: The part of the quadratic formula tells us whether the quadratic equation can be solved by factoring is b^2-4ac

2) 4x^2+6x+2=0
ax^2+bx+c=0; a=4, b=6, c=2
b^2-4ac=(6)^2-4(4)(2)=36-32
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Answer: b^2-4ac=4

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3 years ago

please help! functions and relations. f(x)= square root of x-4. find the inverse of f(x) and it’s domain.

likoan [24]

ANSWER:

$\:D.\text{ }f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge-4$

STEP-BY-STEP EXPLANATION:

We have the following equation:

$f(x)=\sqrt{x}-4$

The inverse is the following (we calculate it by replacing f(x) by x and x by f(x)):

$\begin{gathered} x=\sqrt{f^{-1}(x)}-4 \\ \\ \sqrt{f^{-1}(x)}=x+4 \\ \\ f^{-1}(x)=(x+4)^2 \end{gathered}$

The domain would be the range of the original equation, and it would be the range of values that f(x) could take, which was from -4 to positive infinity, that is, f(x) ≥ -4.

Therefore, the domain is x ≥ -4.

So the correct answer is D.