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2 years ago

(Algebra 2) Find the inverse of f(x) and its domain.

1 answer:

4 0

Let f(x)=y
f^-1(x)=x
y=1/(x+5) - 1
y+1=1/(x+5)
(x+5)=1/(y+1)
x=1/(y+1)-5
f^-1(x)=1/(x+1) -5

denominator cannot equals to zero
x+1≠0
x≠-1

answer
B

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omeli [17]

Your answe would be 1 9/13

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Kipish [7]

Answer:

$y=\frac{x}{5}+\frac{12}{5}$

Step-by-step explanation:

1) The Point-slope form equation is given in this form:

$(x-x_{0})=m(y-y_{0})$

2)Looking at the given graph, we can pick two points: (-5,-4) and (0,-3)

3) Before using the Point-slope form We have to find out the slope:

$m=\frac{-4-(-3)}{0-(-5)} \Rightarrow m=\frac{-4+3}{0+5} \Rightarrow m=\frac{-1}{5}$

4)Parallel lines share the same slope. The one that passes through (-2,2) is found by calculating its linear parameter "b":

$y=\frac{x}{5}+b\Rightarrow 2=\frac{-2}{5}+b\\5*10=(-2+b)*5\Rightarrow 5b=12 \Rightarrow \frac{5b}{5} =\frac{12}{5} \Rightarrow b=\frac{12}{5}$

Then, the answer is:

$y=\frac{x}{5}+\frac{12}{5}$

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3 years ago

Volgvan

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3 years ago

yaroslaw [1]

3√24= 3√2^2*6 = 3*2√6 = 6√6

2√384= 2√8^2*6 = 2*8√6 = 16√6

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Final answer: -14√6

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HACTEHA [7]

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Yes, it does

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