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enyata [817]
3 years ago
13

Let f(x)=x^2-16. Find f^1(x)

Mathematics
1 answer:
Marizza181 [45]3 years ago
4 0
Assuming is the inverse of the expression.

as you'd know, we first off do a quick switcharoo on the variables, and then solve for "y", so, let's do so,

\bf \stackrel{f(x)}{y}=x^2-16\qquad inverse\implies \boxed{x}=\boxed{y}^2-16
\\\\\\
x+16=y^2\implies \sqrt{x+16}=\stackrel{f^{-1}(x)}{y}
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Can someone please help me?
kotykmax [81]

Answer:part a=4.6 part b=2.6

Step-by-step explanation:part a= first make sure to know which direction is which next you would end up making a triangle with the legs as 1.7 and 4.3 and use pythagorean theorem a^2+b^2=c^2 so 1.7^2 + 4.3^2= c^2 1.7^2=2.89 4.3^2=18.49 2.89+18.49=21.38 so now you square root 21.38 to get 4.62385 so it equals 4.6

part b = is basically the same thing except they gave you 3.1 as c and 1.7 as a so you would put it as c^2 - a^2=b^2 so 9.61 - 2.89= 6.72 then square root it to get 2.592296 which means it equals 2.6

3 0
3 years ago
If f(x) =<br> (3 + x)<br> (x-3)<br> what is f(a + 2)?
ipn [44]

Answer:

(a^2)+4a-5

Step-by-step explanation:

(3+a+2)(a+2-3)

(a+5)(a-1)

use FOIL or box method

5a-5+(a^2)-a simplifyes to

(a^2)+4a-5

5 0
2 years ago
Malika responded that the value of t in the equation, t3 = 64/27 is 8/3. Explain why you agree or disagree with Malika. Justify
Minchanka [31]

Answer:

divide 64/8 and 27/9 to arrive at 8/3 for 64/27

3 0
2 years ago
A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of the track
tino4ka555 [31]

Answer:

54 Pounds

Step-by-step explanation:

We know that they start off with 67.5 pounds of sugar and they need to reduce it by 20%. We also know from the problem that we want to know the MAXIMUM amount of sugar consumed by each track member.

The typical high school student consumes about 67.5 pounds of sugar per year. That is our first piece of the problem

67.5

We now know that 20% of it needs to be reduced. This means that we can multiply it by 0.8 because that is 20% less than 100% of the sugar.

67.5 x 0.8

This leads the answer to be 54 Pounds

Hope this helped :D

4 0
3 years ago
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of th
Keith_Richards [23]

Answer:

8 cm and 9 cm

Step-by-step explanation:

The other two sides added together have to equal a larger number than 13, since 13 is the largest side.

5 + 8 = 13

6 + 7 = 13

7 + 2 = 9

8 + 9 = 17

7 0
3 years ago
Read 2 more answers
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