All categories

3 years ago

Let f(x) = 4 – x^2, g(x) = 2 – x. Find (f + g)(x) and its domain.

Mathematics

1 answer:

PtichkaEL [24]3 years ago

8 0

Step-by-step explanation:

$f(x)=4-x^2,\ g(x)=2-x\\\\(f+g)(x)=f(x)+g(x)\\\\\text{therefore}\\\\(f+g)(x)=(4-x^2)+(2-x)=-x^2-x+(4+2)=-x^2-x+6\\\\\text{It's the quadratic function. The domain is the set of all real numbers}\ x\in\mathbb{R}$

You might be interested in

Joani has some stuffed animals. She has 2 times as many as Lily. Lily has 6 stuffed animals. Joanie gave 2 away and bought 4 mor

8090 [49]

We start with his golf balls. He has four, so three times that number is 12. He has 12 baseballs. If we subtract 5 from 12, we can find how many tennis balls he has. So, Wyatt has 7 tennis balls.

8 0

4 years ago

Read 2 more answers

6.) The line that passes through point (-2,3) and (6,y) has a slope of. What is the value of “y,?

WITCHER [35]

What is the slope? We need the slope to find y

7 0

3 years ago

a person who take 40 paces to cover 20m finds that a square field has a side that is 520 paces long .calculate the length of the

Hoochie [10]

Look at picture for explanation

4 0

3 years ago

Is y=7x-3 have a proportional relationship

Black_prince [1.1K]

Answer:

my name is mmmmmmm

Step-by-step explanation:

hehehehe

8 0

4 years ago

a. For what values of x does f (x )equals 3 x plus 3 sine x have a horizontal tangent line? b. For what values of x does f (x )

laila [671]

Answer:

(a)Therefore the value of x= $\pi$

(b) Therefore the value of x $=\frac{\pi}{2}$

Step-by-step explanation:

Horizontal tangent line: The first order derivative of a function gives the slope of the tangent of the function. The slope of horizontal line is zero.If the slope of tangent line is zero then the tangent line is called horizontal tangent line.

(a)

Given function is,

$f(x)= 3x+3sin x$

Differential with respect to x

$f'(x)=3+3cos x$

For horizontal tangent line, f'(x)=0

3+ 3 cos x= 0

⇒3 cos x=-3

⇒cos x=-1

⇒x = 180° $=\pi$

Therefore the value of x= $\pi$

(b)

Given that, the slope is 3.

Then,f'(x)=3

3+ 3 cos x= 3

⇒3 cos x= 3-3

⇒cos x=0

⇒x = 90° $=\frac{\pi}{2}$

Therefore the value of x $=\frac{\pi}{2}$

5 0

3 years ago