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2 years ago

What is the output value for the following function if the input value is 1?

Mathematics

1 answer:

Vladimir79 [104]2 years ago

7 0

Answer:

Output value for the following function is 4

Step-by-step explanation:

Given:

The input value are the value of x

$y = 3x + 1$

Input value is 1

We substitute the value 1 for the input variable x in the given function.

$y = 3x + 1$

$y = 3(1) + 1$

$y = 3 + 1$

$y = 4$

The output value are the value of y

Therefore, for an input of 1, we have an output of 4.

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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

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otez555 [7]

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2 years ago

Let f(x)=cos(arctanx). What is the range of f?

Alenkasestr [34]

-π/2 < arctan(x) < π/2

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2 years ago

Find the x- and y-intercept of the line x+4y=36

blagie [28]

Answer:

x=36

y=9

Step-by-step explanation:

Plug in 0 for x to find the y-intercept

0 + 4y = 36

4y = 36

y = 9

y-intercept (0, 9)

Plug in 0 for y to find the x-intercept

x + 4(0) = 36

x = 36

x-intercept (36, 0)

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2 years ago

What is 4y+3x-10y+7x

Rus_ich [418]

10x-6y
You have to add the like terms.

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3 years ago

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