All categories

3 years ago

If f(x)= 9x-8 and g(x)=x^3,what is (g o f)(1)?

Mathematics

1 answer:

lesya692 [45]3 years ago

4 0

(f∘g)(3) = f(g(3))

Find g(3) by substituting x=3 in g(x)

g(x)=x²-1

g(3)=3²-1

g(3)=9-1

g(3)=8

f*g(3) = f(g(3)) = f(8)

find f(8) by substituting x=8 in f(x):

f(x)=2x+3

f(8)=2(8)+3

f(8)=16+3

f(8)=19

So f∘g(3) = 19

Sorry I am wrong

You might be interested in

How do you simplify this

Gala2k [10]

15 + 1 because you are using apsolute value so that negative 1 becomes a positive

8 0

3 years ago

2. How do you<br> multiply and divide<br> rational<br> expressions?

tatuchka [14]

Answer:

1.Factor both the numerator and the denominator.

2.Write as one fraction.

3: Simplify the rational expression.

4: Multiply any remaining factors in the numerator and/or denominator.

Step-by-step explanation:

7 0

3 years ago

17. x^2 + 2x + 1

valentina_108 [34]

Answer:

E. This polynomial could be factored by using grouping or the perfect squares methods.

Step-by-step explanation:

x^2 + 2x + 1

There is no greatest common factor

This is a perfect square

a^2 + 2ab+ b^2 = ( x+1)^2

We can factor this by grouping

x^2 + 2x + 1

(x^2 +x) + (x+1)

x( x+1) + x+1

Factor out x+1

( x+1) ( x+1)

This is not the difference of squares since there is no subtraction

5 0

3 years ago

Sugar was traditionally produced and sold as sugarloaves, which are cones of sugar wrapped in paper. Find the total surface area

Zolol [24]

Answer:

A = 326,73 cm²

Step-by-step explanation:

The area of a circular cone is area of the base (A₁ ) plus area lateral ( area of a circular sector of radius the slant height )

Then we proceed to calculate the area of the base A₁

diameter of circular base is 8 cm then the radius is 4 cm and the area is:

A₁ = π*r² = 3,14* (4)²

A₁ = 3,1416*16 = 50,2656 cm²

Now Lateral area of the cone (A₂) is equal to the area of a circular sector with radius the slant height. We will calculate it, taken into account that this circular sector is part of a circle of radius the slant height.

Between the area of circular sector with radius the slant height and the area of the circle with the same radius there is a linear relation. That is we can calculate area of a circular sector by rule of three as follows:

The length of the circular sector is the length of the circle of the base of the cone, that is:

L = 2*π*(4)

L = 2*3,1416*4

L = 25,1328 cm

Then we have a circular sector of length 25,1328 cm

The area of the circle of radius 22 cm is:

A(c) = π*(22)² ⇒ A(c) = 1520,5344 cm²

And the length of this circle is:

L(c) = 2*π*(22) ⇒ 138,2304 cm

Then we apply a rule of three

For a length of 138,2304 cm ⇒⇒⇒ (area) 1520,5344 cm²

Then for a length of 25,1328 cm ⇒⇒⇒(area) A₂ (??)

Therefore:

A₂ = (25,1328)*1520,5344)/ 138,2304

A₂ = 276,4608 cm²

Then total area of the cone is:

A = A₁ + A₂

A = 50,2656 +276,4608

A = 326,7264 cm²

Round answer A = 326,73 cm²

8 0

3 years ago

Read 2 more answers

Please I need help. <br> Find the value of u.

seropon [69]

Answer:

62 is the answer.

Step-by-step explanation:

I hope this helps you.

8 0

3 years ago