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masya89 [10]
3 years ago
10

Given f(x) = 4x + 13 and g(x) = 10x − 2, solve for (f + g)(x) and select the correct answer below. (f + g)(x) = 14x + 15 (f + g)

(x) = 14x + 11 (f + g)(x) = 6x + 11 (f + g)(x) = 6x + 15
Mathematics
1 answer:
Fittoniya [83]3 years ago
4 0
Actually, we're combining two separate functions into one, not solving anything.

<span>f(x) = 4x + 13 and g(x) = 10x − 2  should be written one above the other:

</span><span>f(x)  = 4x + 13 and
g(x) = 10x − 2

Now add like terms together:

(f+g)(x) = 14x + 11 (answer)</span>
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Can u please help me with this 2 problem please
Mice21 [21]
<h2>19.</h2><h3>Given</h3>
  • window width and height are in proportion to building width and height
  • window width and height are 11 in and 18 in, respectively
  • building height is 108 ft
<h3>Find</h3>
  • building width
<h3>Solution</h3>

The proportional relation can be written as

... (building width)/(building height) = (window width)/(window height)

Multiplying by (building height) gives

... (building width) = (building heigh) × (window width)/(window height)

... (building width) = 108 ft × (11 in)/(18 in)

... building width = 66 ft

<h2>21.</h2><h3>Given</h3>
  • map distance = 6.75 in
  • map scale = 1.5 in : 5 mi
<h3>Find</h3>
  • actual distance
<h3>Solution</h3>

The distances are in proportion, so

... (map distance) : (actual distance) = 1.5 in : 5 mi

Multiplying by (5 mi)/(1.5 in)×(actual distance), we have

... (5 mi)/(1.5 in)×(6.75 in) = (actual distance) = 22.5 mi

6 0
3 years ago
Find 6x+y when x=5 and y=7​
umka21 [38]

Answer:

37

Step-by-step explanation:

6x+y

Let x = 5 and y = 7

6*5+ 7

Multiply

30 +7

Add

37

8 0
3 years ago
The function of f(x) = 3x + 2 has a domain of -3 &lt; x &lt; 5. What is the domain of f-1(x)?
Flura [38]
<h3>Answer:    -7 < x < 17</h3>

====================================================

Explanation:

Plug in the lower bound of the domain, which is x = -3

f(x) = 3x+2

f(-3) = 3(-3)+2

f(-3) = -9+2

f(-3) = -7

If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.

If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.

The range of f(x) is -7 < y < 17

Recall that the domain and range swap places when going from the original function f(x) to the inverse f^{-1}(x)

This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.

-----------------------

In short, we found the range of f(x) is -7 < y < 17.

That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.

6 0
3 years ago
2xsquare+12x+19<br> Find the minimum value of f (x)
Arturiano [62]
Converting to vertex form is one way of doing this
2x^2 + 12x + 19 
= 2(x^2 + 6x) + 19
= 2 [ x + 3)^2  - 9] + 19
=  2(x + 3)^2  - 18 + 19
= 2(x + 3)^2 + 1

the minimum value is 1
5 0
3 years ago
48% of 8? 3% of 119? 26% of 280?
OLga [1]
X% of y
x%=x/100
'of' means multiply
x% of y=x/100 times y so

48% of 8=48/100 times 8=384/100=3.84

3% of 119=3/100 times 119=357/100=3.57

26% of 280=26/100 times 280=7280/100=72.8
8 0
3 years ago
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