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3 years ago

If a(x)=3x+1 and b(x)=square root x-4, what is the domain of (b o a)(x)?

Mathematics

2 answers:

Dennis_Churaev [7]3 years ago

4 0

Answer:

C. (1,infinity)

Step-by-step explanation:

Bond [772]3 years ago

3 0

ANSWER

$[1, \infty ]$

EXPLANATION

The given functions are:

$a(x) = 3x + 1$

$b(x) = \sqrt{x - 4}$

We want to find the domain of the composite function;

$(b \circ \: a)(x) = b(a(x))$

$(b \circ \: a)(x) = b(3x + 1)$

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

This simplifies to,

$(b \circ \: a)(x) = \sqrt{3x - 3}$

This function is defined for

$3x - 3 \geqslant 0$

$3x \geqslant 3$

$x \geqslant 1$

This can be rewritten as,

$[1, \infty ]$

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19. A spherical balloon has a circumference of 19cm. what is the approximate surface area of the balloon to the nearest square c

Tamiku [17]

The main formula of a spherical surface area is SA= 4 x Pi x r²
the circumference is C= 19cm =2 Pi r, so r = C/ 2Pi = 19 / 6.28 =3.02cm
so the surface area can be found by computing
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3 years ago

If the sales tax in Maple Town is 9.5%, how much would an ice cream of $4.25 cost with the tax added? Please explain.

faltersainse [42]

To find the sales tax, you need to find 9.5% of 4.25

4.25*.095 = .40375

Now we need to add the sales tax to the price.

4.25 + .40375 = 4.65375
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Hope this helped!

5 0

3 years ago

Read 2 more answers

You work as an assistant to a carpenter who designed the tabletop below. He tells you that each shape is a right triangle, and e

svlad2 [7]

Answer:

282.5 inches squared

Step-by-step explanation:

A triangle is half the area of a square.

So we will solve the area as if we were finding the area for a square, and then we halve the result.

Length multiply by height to get the area:

28.25 × 20 = 565 inches squared