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igomit [66]
4 years ago
5

Given f(x)= x-1/2, solve for f^-1(5)

Mathematics
1 answer:
Norma-Jean [14]4 years ago
6 0
Alrighty, a hack I will hsow you

if f(a)=b then f⁻¹(b)=a
and
if f⁻¹(a)=b then f(b)=a

so we want to find f⁻¹(5)=?
well, by the above 'hack', if f⁻¹(5)=z then f(z)=5

find what value of x will make f(x)=5
5=\frac{x-1}{2}
times 2 both sides
10=x-1
add 1
11=x

the answer is 11
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What is the slope of a line parallel to the line whose equation is 3x – 3y = -45.
Karolina [17]

Answer:

One

Step-by-step explanation:

A parallel line has the same slope of the original graph. Because of this, all we need to do is put the equation you gave into slop-intercept form, or:

<em>y</em> = <em>mx</em> + <em>b</em>

Don't forget that <em>m </em>is the slope, and <em>b</em> is the y-intercept!

3<em>x</em> - 3<em>y </em>= 45

-3<em>y</em> = -3<em>x</em> + 45

<em>y</em> = <em>x</em> + 15

Compare this to the equation of the slope-intercept form and look for <em>m:</em>

<em>y</em> =<em> mx</em> + <em>b</em>

There's nothing in front of the variable! No worries, that's the same thing as saying 1<em>x</em>.

But mathematicians are a little lazy (lol) and they don't want to mistake the number 1 for the lowercase letter <em>L </em>or a capital <em>i. </em>Because of that, they made 1<em>x</em> equal <em>x.</em>

Long story short, the slope for the equation (3<em>x</em> – 3<em>y</em> = -45) is one. And because parallel lines have the same slope as their original counterparts, the slope is one as well!

I recommend trying a few other problems like these. You'll end up using them a lot in the future!

Good luck and keep studying!

5 0
3 years ago
HELP!!!!!!!! 15 POINTS
IrinaK [193]

Answer:

x=5 is in the domain

Step-by-step explanation:

sqrt(x-5) ≥ 0

Square each side

(sqrt(x-5))^2 ≥ 0^2

x-5≥0

x≥5

This is the domain of x

3 0
3 years ago
A car weighs about 2?
Mandarinka [93]

Answer:

2 what?

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Depth(m) temp(C
Vsevolod [243]
A.) For 25 ≤ d ≤ 150;
ΔT/Δd = (5.50 - 5.50)/(150 - 25) = 0/125 = 0

b.) For 25 ≤ d ≤ 75;
ΔT/Δd = (5.10 - 5.50)/(75 - 25) = -0.4/50 = -0.008

c.) For 100 ≤ d ≤ 200;
ΔT/Δd = (6.00 - 5.10)/(200 - 100) = 0.9/100 = 0.009
8 0
3 years ago
7) c/a=d-r, for a<br><br> thanks
iragen [17]

\dfrac{c}{a}=d-r \\\dfrac{c}{a}/c=\dfrac{d-r}{c} \\a=\boxed{\dfrac{d-r}{c}}

Hope this helps.

8 0
4 years ago
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