Step-by-step explanation:
f(x) = y = -1/2 × sqrt(x + 3), x >= -3
-2y = sqrt(x + 3)
4y² = x + 3
x = 4y² - 3
and now we need to rename x to y and y to x to make it a "normal" function :
y = 4x² - 3
since in the original function x >= -3, this gave us y <=0.
and therefore (remember the x of the inverse function actually stands for the y of the original function) the limit for the inverse function is x <= 0.
so, again, the full answer is
f^-1(x) = 4x² - 3, x <= 0
340x100=34,000 hope this helps
Answer:
Dog is 2 years old
Step-by-step explanation:
Let dog's age = d
Let friend's age = f
Your dog is 8 years younger than your friend:
d +8 = f
In 2 years, your friend will be three times as old as your dog:
3(d+2) = (f+2)
3d+6 = f+2
3d = f - 4
(sub in f=d+8 from above)
3d = f - 4
3d = d+8 - 4
2d = 4
d = 2
Answer:
D) Distribute Property
Step-by-step explanation:
The student did Distribute property but they didn't mark it down.
If Erica earned a total of $15450 last year from both the jobs then he earns $2840 from college if she earned 1250 more than four times the amount from college from store.
Given Total amount earned=$15450,Amount earned from store is 1250 more than 4 times earned from college.
Amount from store forms an equation.
let the amount earned from college is x.
According to question:
Amount earned from store=4x+1250
Amount earned from college=x
Total amount earned=4x+1250+x
5x+1250=15450
5x=15450-1250
5x=14200
x=14200/5
x=2840
Put the value of x in 4x+1250 to get amount earned from store=4(2840)+1250=$12610.
Hence the amount earned by Erica from college is $2840.
Learn more about equation at brainly.com/question/2972832
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