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2 years ago

Find f(x) if it is known that f(x−2)=2x−4.

Mathematics

1 answer:

tigry1 [53]2 years ago

3 0

F(x) = 2x
___________

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What is the area of the rhombus shown below?

zzz [600]

Answer:

Step-by-step explanation:

i took test

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3 years ago

How can u solve y= -x -4 if I don't know my given intercepts

lukranit [14]

To solve you would use the equation y=mx=b .
y is how far line goes up, x is how for along , m is the slope and b is where the line crosses the yaxis.
slope: -1
x-intercept ; -4
y-intercept : -4

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3 years ago

What is 3.0029 in short word form?

vovikov84 [41]

Three and twenty-nine ten-thousandths

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2 years ago

What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

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3 years ago

Are the ratios of the number of people to the number of rollercoaster cars in a proportional relationship? Explain your reasonin

LiRa [457]

Answer:

the answer will be 366:81

Step-by-step explanation:

you will find value of ratio 3:18

then divide 366:61

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3 years ago