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Marysya12 [62]
3 years ago
5

Find f^-1(x) A B C D

Mathematics
2 answers:
inna [77]3 years ago
8 0

<u><em>Answer:</em></u>

D. f⁻¹(x) = 2x + 10

<u><em>Explanation:</em></u>

<u>The given is:</u>

f(x) = \frac{1}{2}x - 5

<u>To find the inverse, follow the below procedures:</u>

<u>1- Convert f(x) to y. </u>

<u>This will give:</u>

y = \frac{1}{2} x - 5

<u>2- Swap the x and y variables.</u>

<u>This will give:</u>

x = \frac{1}{2}y - 5

<u>3- Solve for y.</u>

<u>This will give:</u>

x = \frac{1}{2}y - 5\\ \\ \frac{1}{2}y = x+5\\ \\ y = 2x+10

<u>4- Replace the y in the above step with f⁻¹(x).</u>

<u>This will give us:</u>

f⁻¹(x) = 2x + 10

Hope this helps :)

scoray [572]3 years ago
3 0

Answer:

Choice d is the answer.

Step-by-step explanation:

We have given a function.

f(x) = 1/2x-5

We have to find the inverse of the function.

f⁻¹(x) = ?

Putting y = f(x) in given equation, we have

y = 1/2x-5

Separating x , we have

y+5 = 1/2x

x = 2(y+5)

Putting x = f⁻¹(y) in above equation, we have

f⁻¹(y) = 2y+10

Replacing y by x , we have

f⁻¹(x) = 2x+10 which is the answer.

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Solution, solve\:for\:x,\:64=\left(x+8\right)+90\quad :\quad x=-34

Steps:

64=\left(x+8\right)+90

\mathrm{Switch\:sides}, \left(x+8\right)+90=64

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a, x+8+90=64

\mathrm{Add\:the\:numbers:}\:8+90=98, x+98=64

\mathrm{Subtract\:}98\mathrm{\:from\:both\:sides}, x+98-98=64-98

\mathrm{Simplify}, x=-34

\mathrm{The\:Correct\:Answer\:is\:x=-34}

\mathrm{Hope\:This\:Helps!!!}

4 0
3 years ago
Consider the two exponential equations shown. Identify the attributes for each equation to complete the table.​
SIZIF [17.4K]

<u>Answer:</u>

y = 2 5 0 ( 0 . 8 9 ) ^ x

Initial value: 250

Decay

Decay rate: 11%

y = 4 0 ( 1.11 ) ^ x

Initial value: 40

Growth

Growth rate: 11%

<u>Step-by-step explanation:</u>

The function we have on the left of the table is:

y = 2 5 0 ( 0 . 8 9 ) ^ x

<u>Initial value</u> (when x = 0): y = 2 5 0 ( 0 . 8 9 ) ^ 0

y = 250 (initial value)

Growth or Decay: 0.89 < 1 so decay

Decay rate: (1 - 0.89) * 100 = 11%

Function on right side:

y = 4 0 ( 1.11 ) ^ x

<u>Initial value</u> (when x = 0): y = 4 0 ( 1 . 1 1 ) ^ 0

y = 40 (initial value)

Growth or decay: 1.11 > 1 so growth

Growth rate: (1.11 - 1) * 100 = 11%

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Answer:

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In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10. What is the value of x?
Stels [109]

Answer: The value of x= 18

Step-by-step explanation:

Given: In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10.

The sum of all angles of a triangle is 180°.

Therefore, in triangle EFG

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Hence, the value of x= 18

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