All categories

3 years ago

Consider f(x)=x+7 and g(x)=x^2-1 find (g of f)(x)

Mathematics

2 answers:

finlep [7]3 years ago

6 0

Answer:

g(f(x))=x^2 + 14x + 48

Step-by-step explanation:

you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.

nika2105 [10]3 years ago

5 0

(g o f) (x) = g ( f(x) )

= (x+7)² – 1

= x² + 14x+49 – 1

= x² + 14x+48

If you want, (f o g ) (x) below is the solution ^_^

(f o g ) (x) = f ( g(x) )

= g(x) + 7

= x²-1 +7

= x² +6

I hope I helped you^_^

You might be interested in

A car travels 120 miles in 3 hours how far will it take to travel. 200 miles

docker41 [41]

Find mph
120/3 = 40 mph
200/40 = 5 hours to travel 200 miles

4 0

3 years ago

Read 2 more answers

Please answer me question 3 solving part

Illusion [34]

Answer:

1. D

2. B

3. A

Step-by-step explanation:

Question 1:

The pair of <JKL and <LKM can be referred to as linear pairs. They are two adjacent angles that are formed from the intersecting of two lines.

Question 2:

Given that <KLM = x°

<KML = 50°

<JKL = (2x - 15)°

According to the exterior angle theorem, exterior ∠ JKL = <KLM + KML.

2x - 15 = x + 50

Solve for x

2x - x = 15 + 50

x = 65

Therefore, <KLM = 65°

QUESTION 3:

<JKL = 2x - 15

Plug in the value of x

<JKL = 2(65) - 15

= 130 - 15

<JKL = 115°

7 0

3 years ago

Find f'(x) for the given function.<br> f(x)=1/8+x

Novay_Z [31]

1234567891012345678910

3 0

3 years ago

Is this correct? I'm really confused xD

denpristay [2]

Yes, your current answer is correct. Divide each term by the divisor.

4 0

4 years ago

After dinner 2/3 of a pan of lasagna is left. The hole pan of Lasagna was originally cut in into pieces that were each 1/6 of th

Paraphin [41]

Answer:

An equation represents the number of pieces of lasagna that are left after dinner is $\frac{1}{6}x=\frac{2}{3}$

Step-by-step explanation:

Each piece of Lasagna is 1/6 of the pan

Let x be the number of pieces left

So, x pieces is $\frac{1}{6}x$ of the pan

We are given that After dinner 2/3 of a pan of lasagna is left.

So, $\frac{1}{6}x=\frac{2}{3}$

$x=\frac{2}{3} \times 6$

x=4

So, Number of pieces left = 4

Hence An equation represents the number of pieces of lasagna that are left after dinner is $\frac{1}{6}x=\frac{2}{3}$

8 0

3 years ago