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4 years ago

If f(x)=4^x-8 and g(x)=5x+6 find (f+g)(x) ANSWER ASAP PLS

Mathematics

2 answers:

liraira [26]4 years ago

4 0

<h3>Answer: 4^x+5x-2</h3>

Add up the equations and combine any like terms. In this case, the like terms are -8 and +6 which combine to -2. Everything else is unlike terms so you leave them as is.

f(x) + g(x) = (4^x-8) + (5x+6)

f(x) + g(x) = 4^x + 5x + (-8+6)

f(x) + g(x) = 4^x + 5x - 2

attashe74 [19]4 years ago

4 0

Answer:

$\large\boxed{(f+g)(x)=4^x+5x-2}$

Step-by-step explanation:

$(f+g)(x)=f(x)+g(x)\\\\\text{We have:}\\\\f(x)=4^x-8,\ g(x)=5x+6\\\\\text{Substitute:}\\\\(f+g)(x)=(4^x-8)+(5x+6)=4^x+5x+(-8+6)\\\\(f+g)(x)=4^x+5x-2$

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zmey [24]

Answer:

Step-by-step explanation:

Find the midpoint of BC:

midpoint = (-1+5)/2, (2-2)/2 = (2, 0).

The slope of BC = (2 - -2) / (-1-5) = -2/3.

Find the equation of the right bisector of BC:

The slope = -1 / -2/3 = 3/2.

y-y1 = m(x-x1)

y - 0 = 3/2(x - 2)

y = 3/2x - 3.

Now find the equation of the median through C:

The midpoint of AB = (1 - 1)/2, (4+2)/2

= (0, 3).

The equation of the median:

The slope = (-2-3) / (5-0)

= -1.

The equation is:

y - 3 = -1(x - 0)

y -3 = -x.

Now we find the point of intersection by solving the 2 equations:

y - 3 = -x

y = 3/2x - 3

y = -x + 3

So:

3/2x - 3 = -x + 3

3/2x + x = 6

5/2 x = 6

x = 12/5.

y = -12/5 + 3

= -12/5 + 15/5

= 3/5.

The sum of the coordinates = 12/5 + 3 /5

= 15/5

= 3.

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3 years ago

Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points) y = eight divided by square root of quantity

zubka84 [21]

Answer:

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Step-by-step explanation:

For this sort of problem, there can be an infinite number of answers.

It can be convenient to choose one of the simpler answers by looking at the operations that are performed on the variable. Here, you have ...

2 multiplies it
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the square root is taken
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You can work from the bottom up and define the outer function (f(x)) to be any of these operations. In our answer above, we have elected to include the "square root" and the "8 divided by that root" in our definition of f.

Then our function g takes care of the other operations.

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3 years ago

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zavuch27 [327]

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