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stepan [7]
2 years ago
5

Find the inverse function f -1(x) for the given function f(x). f(x) = x + 1/8

Mathematics
1 answer:
velikii [3]2 years ago
5 0

Answer:

f⁻¹(x) = 8x - 1

Step-by-step explanation:

Swap the positions of y (f(x)) and x and solve for y.

x=\frac{y+1}{8}\\\\8(x)=\frac{y+1}{8}(8)\\\\8x=y+1\\\\8x-1=y+1-1\\\\8x-1=y

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What's the best prouduct of these fractions 4/7×8/9×14/15​
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▹ Answer

<em>448/945</em>

<em />

▹ Step-by-Step Explanation

\frac{4}{7} * \frac{8}{9} \\\\= \frac{32}{63} \\\\\\\frac{32}{63} * \frac{14}{15\\} \\\\= \frac{448}{945}

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For the parent function y=√x what effect does a value of k = -3 have on the graph?
luda_lava [24]

Answer:

Vertical shift of 3 units down ⇒ last answer

Step-by-step explanation:

* Lets revise the translation of a function

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

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- If the function f(x) translated vertically down  

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* Lets solve the problem

∵ The parent function y = √x

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- From the rules above k is for the vertical translation

∵ k = -3

- That means the parent function translated 3 units down

∴ The value of k = -3 makes the graph of the parent function translated

   3 units down

- For more understand look to the attached graph

# y = √x ⇒ the red graph

# y = √x - 3 ⇒ the blue graph

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