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1 year ago

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What is the inverse of f(x)=x^4+7 for x>0 where function g is the inverse of function f? -

1 answer:

Ann [662]1 year ago

7 0

Answer:

$g(x) = \sqrt[4]{x-7},~ x\geq 7$

Step by step explanation:

$y= f(x) = x^4+7\\\\\text{Replace x with y and solve for y:}\\\\~~~~~~~x = y^4 +7\\\\\implies y^4 = x-7\\\\\implies y = \pm\sqrt[4]{x-7}\\\\ \implies f^{-1}(x) = \pm\sqrt[4]{x-7}$

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The graph of the parent function y = x cubed is horizontally stretched by a factor of One-fifth and reflected over the y-axis. W

sasho [114]

Answer: OPTION D.

Step-by-step explanation:

Below are some transformations for a function f(x):

If $-f(x)$ , then the function is reflected over the x-axis.

If $f(-x)$ , then the function is reflected over the y-axis.

If $f(bx)$ and $b>1$ , then the function is horizontally compressed.

If $f(bx)$ and $0 < b$ , then the function is horizontally stretched.

In this case you know that the parent function is:

$y=x^3$

According to the information given in the exercise, the parent function IS horizontally stretched by a factor of $\frac{1}{5}$ and it is also reflected over the y-axis.

Therefore, based on the transformations explained before, you can notice that the transformation is:

$f(-bx)$

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Therefore, the equation of the transformed function is:

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3 years ago

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bezimeni [28]

Answer:

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Step-by-step explanation:

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Step 2: Divide both sides by -3.

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nordsb [41]

Answer

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3 years ago

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Answer:

First question --> C) 8.5h

Second question --> D) 2

Step-by-step explanation:

First question

Terry earns $10 per hour

Jill earns 20% less which is $2 less

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Jerry earns $0.50 more per hour than Jill

Jerry earns $8.50 per hour

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Use PEMDAS

so Parentheses first, then divide, then subtract

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mamaluj [8]

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