2 years ago

Another day, another math problem 3

Mathematics

1 answer:

yuradex [85]2 years ago

5 0

Answer:

$2\sqrt{x+1}-3\\domain:[-1, \infty)$

Step-by-step explanation:

$g(h(x)) = 2(\sqrt{x+1})-3\\g(h(x)) = 2\sqrt{x+1} - 3\\$

the function is only defined when (x+1) >= 0 (since square root) so the domain is when x >= -1

You might be interested in

A rectangle has a perimeter of 4848 feet and a length of 1414 feet. Which equation can you solve to find the width?

yawa3891 [41]

(4848 - 2 x 1414) / 2 = 1010

5 0

3 years ago

Ed counts 23 black cars, 9 red cars, 17 blue cars, 25 white cars and 21 silver cars during 20 minutes of watching. How many more

amid [387]

23 black cars
9 red cars
17 blue cars
25 white cars
21 silver cars

(white cars + blue cars) - (sliver cars + red cars)
(25 + 17) - (21 + 9)
(42) - (30)
12 more blue and white cars

7 0

3 years ago

The graph of y = 1/2 x2 + 2x + 3 is shown. What are the solutions to the equation 1/2 x2 + 2x + 3 = x + 7?

kirill [66]

Answer:

Step-by-step explanation:

Let's organise our information :

the function is (1/2)x²+2x+3

we want to khow the value of x that gives us : (1/2)x²+2x+3=x+7

Now the trick is to write this expression as a quadratic equation with zero at one side :

(1/2)x²+2x+3=x+7

(1/2)x²+2x+3-x-7=0
(1/2)x²+x-4=0

Now let's solve this equation :

a= 1/2
b= 1
c= -4

Δ=1²-4*(1/2)*(-4)

= 9

So we have two solutions :

$\left \{ {{y=\frac{-1-3}{2*0.5} } \atop {x=\frac{-1+3}{2*0.5} }} \right.$

y= -4
x= 2

So the solutions are -4 and 2

3 0

4 years ago

12c+2d=48g solve for d

Lostsunrise [7]

Answer:

d=−6c+24g

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

(- 1, 2) and (9, - 3)

taurus [48]

Answer:

-1/2 is your answer.

Step-by-step explanation:

The slope formula is (y_2 - y_1)/(x_2 - x_1)

The y's are -3 and 2, while the x's are 9 and -1.

(-3-2)/(9-(-1))=-5/10=

-1/2 is your answer.

8 0

3 years ago