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Lelu [443]
3 years ago
12

Given: f(x)=x^(2)-3 and g(x)=x+1 the composite function g*f is

Mathematics
2 answers:
Ivenika [448]3 years ago
8 0

Answer:

<h2>x³ + x² - 3x - 3</h2>

Step-by-step explanation:

I'm assuming g*f means g times f,  so you want to multiply the two functions together.  

(x² - 3)(x + 1)                 Since the product is 2 binomials, use FOIL

                      =  x²(x) + x²(1) - 3(x) - 3(1)

which simplifies to

<h2>x³ + x² - 3x - 3</h2>
qaws [65]3 years ago
4 0

Answer: x³ + x² - 3x - 3

Step-by-step explanation:

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(02.06)A local store has a puppy that weighs 56 ounces. How many pounds does the puppy weigh, given that 1 pound = 16 ounces? (I
viktelen [127]
The answer should be 3.5 pounds. You divide 56 by 16 to get your answer
3 0
3 years ago
Evaluate Functions<br> Given f(x) = 2x + 6 and g(x) = 5x - 1<br> Evaluate f(-2)
ZanzabumX [31]

Answer:

f(-2) = -4x + 6

Step-by-step explanation:

f(x) = 2x + 6

f(-2) = -2(2x) + 6

f(-2) = -4x + 6

4 0
3 years ago
Read 2 more answers
if a shape is a regular pentagon with five sides, which of the following must be true? Check all that apply
julsineya [31]

Answer:

A. It has reflectional symmetry

B. It is symmetrical

D. It has five lines of symmetry

Step-by-step explanation:

we know that

A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides

Every regular polygon has reflectional symmetry

Regular polygons are symmetrical

therefore

A. It has reflectional symmetry ------> Is true

B. It is symmetrical -----> Is true

C. It has exactly one line of symmetry ----> Is false

D. It has five lines of symmetry -----> Is true

4 0
3 years ago
Read 2 more answers
If lim x-&gt; 4 f(x)=5 lim x-&gt; 4 f g(x)=0 and lim x-&gt; 4 f h(x)=-2, then find lim (fg)(x)
Lyrx [107]

Answer:

0

Step-by-step explanation:

Assuming the problem is:

"lim x-> 4 f(x)=5 lim x-> 4 g(x)=0 and lim x-> 4 h(x)=-2, then find lim x->4 (fg)(x)"

lim x->4 (fg)(x)

Since we know the limits of f and g at x=4 exist we can write the limit as:

lim x->4 f(x) lim x->4 g(x) (since fg(x) means f times g of x.)

5(0)

0

5 0
3 years ago
If rs =3x + 1, st = 2x- 2 ,and rt = 64,find the value of x
stealth61 [152]
             rs + st = rt     Plug in the values
3x + 1 + 2x - 2 = 64   Combine like terms (1 and -2)
       3x -1 + 2x = 64   Combine like terms (3x and 2x)
            -1 + 5x = 64   Add 1 to both sides
                  5x = 65   Divide both sides by 5
                    x = 13
3 0
3 years ago
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