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g100num [7]
3 years ago
7

5 point

Mathematics
1 answer:
nadya68 [22]3 years ago
6 0

Answer:

C table one hope this helps ya

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If a(x) = 3x + 1 and b(x)= squareroot x-4, what is the domain of (b*a)(x)?
oksano4ka [1.4K]

\boxed{ \ x \geq 1 \ } or can be written as \boxed{ \ [1, \infty) \ }

<h3>Further explanation</h3>

This is a question about the composition of functions and how to get a domain function.

Given \boxed{ \ a(x) = 3x + 1 \ } and \boxed{ \ b(x) = \sqrt{x - 4} \ }.

We will form (b o a)(x) and then determine the domain.

<u>Step-1</u>

\boxed{ \ (b \circ a)(x) = b(a(x)) \ }

Replace each appearance of x in b(x) with \boxed{ \ a(x) = 3x + 1 \ }.

\boxed{ \ (b \circ a)(x) = \sqrt{(3x + 1) - 4} \ }

Thus, \boxed{ \ (b \circ a)(x) = \sqrt{3x - 3} \ }

<u>Step-2</u>

To be defined, the value under the radical sign must not be negative. Therefore, the domain of (b \circ a)(x) = \sqrt{3x - 3} are processed as follows.

\boxed{ \ 3x - 3 \geq 0 \ }

Both sides added by 3.

\boxed{ \ 3x \geq 3 \ }

Both sides divided by 3.

\boxed{ \ x\geq 1 \ }

Thus, the domain of (b \circ a)(x) = \sqrt{3x - 3} is \boxed{ \ x \geq 1 \ } or can be written as \boxed{ \ [1, \infty) \ }

<h3>Learn more</h3>
  1. If f(x) = x² – 2x and g(x) = 6x + 4, for which value of x does (f o g)(x) = 0? brainly.com/question/1774827
  2. Solve for the value of the function composition brainly.com/question/2142762
  3. Look for rotation rules in the transformation brainly.com/question/2992432

Keywords: composition of function, if a(x) = 3x + 1, and, b(x) = √(x-4), what is the domain of, (b o a)(x), b(a(x)), defined, the value, under the radical sign, must not be negative,

4 0
4 years ago
Read 2 more answers
5x + 2 = 3x + 4(2x - 1)<br><br> show steps
LUCKY_DIMON [66]

Answer:

x=1

Step-by-step explanation:

5x+2=3x+4(2x-1)

5x+2=3x+8x-4

5x+2=11x-4

5x-11x=-4-2

-6x=-6

6x=6

x=1

7 0
3 years ago
Tom's backyard has an area of 25 square yards. What is its area in square inches? (1 yd = 36 in.)
Iteru [2.4K]

Hey there!!

The area given : 25 square yards

We will find the length of the square.

Square area = side²

side² = 25

side = √25

side = 5 yards.

Now convert this into inches

1 yard --> 36 inches

5 yards --> 180 inches

Area = 180²

Area = 32400 inches²

Hope my answer helps!!

6 0
3 years ago
Convert the following numiracal into Q basic expression :<br><br>³√(a+b)+a²
erastovalidia [21]

Answer:

(a+b)1/3+a^2

Step-by-step explanation:

Hope it helps!

8 0
3 years ago
If you invest $8,600 at a 3.95% simple annual interest rate, approximately how long will it take for you to have a total of $21,
telo118 [61]
Well, Doing 8,600 x .0395, you get 339.7, then if you do that x 25, that's too low if you add 8600 to it, 36 years if you do 339.7 x 25, then add 8600 its extremely close to 21000. And since you put approximately, since this will round up, the best answer choice is definitely B

Hope this helps. Have a great day!
 
5 0
4 years ago
Read 2 more answers
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