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alukav5142 [94]
1 year ago
14

Let ƒ(x) = x + 1 and g(x) = 5x. Evaluate the composition (ƒ ∘ g)(–1).

Mathematics
1 answer:
Lubov Fominskaja [6]1 year ago
3 0

The value of the composite function is option (D) (f ∘ g)( - 1) = - 4.

The functions are given as:

f(x) = x + 1 and g(x) = 5x.

We need to find the composite function:

(f ∘ g)( - 1).

= f (g ( - 1)

Substitute value of g(x):

= f ( 5 ( - 1))

= f ( - 5)

Substitute value of f(x):

= ( - 5 ) + 1

= - 5 + 1

= - 4

Therefore, the value of the composite function is option (D) (f ∘ g)( - 1) = - 4.

Learn more about function here:

brainly.com/question/25638609

#SPJ9

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Find a linear inequality with the following solution set. Each grid line represents one unit.
ikadub [295]

The linear inequality in standard form is: x + y < -2 or x + y + 2 < 0

<h3>How to Write a Linear Inequality?</h3>

To determine what sign to use, follow these rules:

  • Use "<" or ">" when the boundary line is dotted or dashed.
  • Use "<" or "≤" when the shaded area is under the boundary line (dotted or dashed).
  • Use "≤" or "≥" when the boundary line is not  dotted or dashed.
  • Use ">" or "≥" when the shaded area is above the boundary line (dotted or dashed).

The graph given has the following features:

  • It has a boundary line that is dotted/dashed.
  • It has a shaded area that is under the boundary line.
  • Thus, the inequality sign we would use is, "<".

Find the slope:

Slope (m)= rise/run = -(2 units) / (2 units).

Slope (m) = -1.

The y-intercept (b) = -2.

Substitute m = -1 and b = -2 into y < mx + b:

y < (-1)x + (-2)

y < -x - 2

Rewrite

x + y < -2

x + y + 2 < 0

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5 0
1 year ago
What do you think ? compared to bottoms up method: better, Worse, the same or something Else?
Leya [2.2K]
Idk what u mean.......
3 0
3 years ago
PLEASE HELP ASAP!!!!!
Rashid [163]

mike charges 100 dollars service charge plus 65 dollars per hour.  

amy charges 40 dollars service charge plus 80 dollars per hour.  

the cost to repair from mike is 100 + 65 * x.  

the cost to repair from amy is 40 + 80 * x.  

let x = 3 and you get:  

the cost to repair from mike is 100 + 65 * 3 = 295 dollars.  

the cost to repaid from amy is 40 + 80 * 3 = 280 dollars.  

as long as the time to repair is 3 hours or less, the cost to repair will be cheaper from amy.

4 0
2 years ago
Helpp please ! need to<br> show work for geometry
podryga [215]

Answer:

45 degrees

Step-by-step explanation:

AOB = 140°

and an the angle bisector(OC) is a line which will divide AOB into 2 equal angles

which is 140÷2= 70

and if AOD = 25 then COD= 70-25

= 45 degrees

hope it helps

3 0
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