Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for f(h(x)).

Answers

Answer 1
Answer:

The equation of the composite function is f(h(x)) = 2x-4.

What is Composite Function?

Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g. In this operation, the functiong is applied to the result of applying the function f to x.

Here, f(x) = x - 7

         h(x) = 2x + 3

Now, f(h(x)) = f ( 2x + 3)

                   = (2x+3)-7

                   = 2x + 3 -7

                  = 2x - 4

Thus, the equation of the composite function is f(h(x)) = 2x-4.

Learn more about Composite Function from:

brainly.com/question/20379727

#SPJ2

Answer 2
Answer:

Answer:

Step-by-step explanation:

Write the rule for h(f(x)).

h(f(x)) = 2x - 11

Write the rule for f(h(x)).

f(h(x)) = 2x - 4


Related Questions

PLEASE HELP FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER ​
A students tuition was $1000. a loan was obtained for 4/5 of the tuition.how much was the loan?
Rewrite the equation 4x + 4y = 20 in slope-intercept form.
Trina uses 1/2 of sugar and 3/4 cup of flour in a recipe. How many cups of sugar would she need if she uses 3 cups of flour?
If f(x) is the total cost, in dollars, of x candies, which of the following statements best describes the meaning of f(2) = 6? A. The total cost of 2 candies is $6.00./ B. The total cost of 6 candies is $2.00. / C. The total cost of 2 candies is $3.00. / D.The total cost of 3 candies is $2.00.

11.Can 90 degree, 90degree and 20 degree form a triangle? *1 pointyesnosometimesnone of these​

Answers

Final answer:

Angles of a triangle always add up to 180 degrees. The given angles (90, 90, 20 degrees) give a total of 200 degrees, hence they cannot form a triangle.

Explanation:

In order for three angles to form a triangle, they must satisfy the triangle inequality theorem, which states that the sum of the measures of any two angles in a triangle must be greater than the measure of the third angle.

In this case, you have angles measuring 90 degrees, 90 degrees, and 20 degrees. Let's apply the theorem:

1. Angle 1: 90 degrees

2. Angle 2: 90 degrees

3. Angle 3: 20 degrees

Now, let's check if these angles satisfy the triangle inequality theorem:

- Angle 1 + Angle 2 = 90 degrees + 90 degrees = 180 degrees

- Angle 3 = 20 degrees

According to the theorem, the sum of any two angles must be greater than the measure of the third angle. However, in this case, the sum of Angle 1 and Angle 2 (180 degrees) is not greater than Angle 3 (20 degrees). Therefore, these angles do not satisfy the triangle inequality theorem.

So, the answer is "no," 90 degrees, 90 degrees, and 20 degrees cannot form a triangle because they do not satisfy the triangle inequality theorem.

Learn more about Angles of a triangle

brainly.com/question/35707528

#SPJ11

Answer:

no. never.

Step-by-step explanation:

total internal angles of a triangle sum to 180. 90 + 90 is 180 so no, you cannot have a triangle with sides 90 90 and 20. it is possiblw to have 90 45 and 45 though

A similarity transformation maps polygon ABCD to polygon PQRS. If the length of is 6 and the length of the corresponding side, , is 12, what is the scale factor of dilation

Answers

For this case, what we must do is find the scale factor.
 We have then that the scale factor is given by:
 k = (L1)/(L2)
 Where,
 L1: side length of polygon ABCD
 L2: side length of polygon PQRS
 Note: both sides belong to the same side of each polygon
 Substituting the values we have:
 k = (6)/(12)
 Rewriting we have:
 k = (1)/(2)
 Answer:
 
The scale factor of dilation is given by:
 
k = (1)/(2)
(6)/(12)(1)/(2) from the larger polygon to smaller one

(12)/(6) = 2, from the smaller polygon to the larger one.

In which country did Thomas Jefferson serve as a minister after Benjamin Franklin? a) Spain b) Great Britain c) France d) Germany

Answers

Step-by-step explanation:

Hello, I have a promotion for you, I'll give you 100 points and they're free, just tell me yes and we'll chat privately.

The formula to find the area of the walls of a rectangular room is A=2h (l+b), h is wall height, l is room length, and b is room breadth. The area of doors and windows are ignored.Question - Using the formula find the wall area if the room length is 8m, breadth is 6m and height is 2.5 m.
Sorry but I have NO clue :(

Answers

Problems are very often written in a confusing way. This one couldn't possibly have been
written any more clearly.  Sooner or later, you have to stop telling yourself that you have
no clue, settle down, and carefully read the words that are right there on the page.

I'll tell you one more detail that's not in the problem:  "breadth" means "width".
 
Now.  The problem clearly tells you all of these things, in this exact order:

=>  Area of the walls = (2 x height) x (length + width)

=>  length = 8m
=>  width = 6m
=>  height = 2.5m 

Is there a reason you can't take the numbers for length, width, and height,
and write them in the formula for the area ?  Do I have to do all the work ?

Area = (2 x height) x (length + width)

Area = (2 x 2.5m ) x ( 8m    +   6m  )

Do the arithmetic inside the parentheses:

Area = (    5m     ) x (     14m          )

Do the multiplication:

Area = 70 m² .

You will never see a problem that comes any closer to answering itself for you.

If the endpoints of AB have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of AB?

Answers

The midpoint of a line segment given the coordinates of the endpoints may be obtained by getting the average of the two abscissas and ordinates. With the given above, the average of the abscissas is 4 and that of the ordinates is 3. Thus, the midpoint is at (4, 3). 

Answer and Step-by-step explanation:

Answer:

The cross section will be an isosceles triangle

Step-by-step explanation:

The image of the inquiry in the joined figure N 1

we realize that

On the off chance that a plane goes through the pivot of revolution of the cone, at that point the resultant cross-area will be a triangle with one vertex as the vertex of the cone and the different sides of the triangle through the vertex A will be equivalent.

Where the base of the triangle will be equivalent to the breadth of the round base of cone and the two compatible sides of triangle will be equivalent to the inclination tallness of the cone

hence

The cross segment will be an isosceles triangle

5218 2/3*2137 3/8*145678 7/8

Answers

(23(213738))(145678)

=23(213738)(145678)

=23(213738)(145678)


=(23(170998))(145678)


=1709912(145678)

=12454740616

=20757901016