All categories

3 years ago

Use the functions f(x) = 4x² + 3 and g(x) = 3x + 2 to evaluate the following.

Mathematics

2 answers:

natita [175]3 years ago

7 0

Answer:

Step-by-step explanation:

f(-2)= 4(-2)^2 + 3 = 4(4) + 3 = 16 + 3 = 19

g(19) = 3(19) + 2 = 57 + 2 = 59

g(-2)= 3(-2) + 2 = -6 + 2 = -4

f(-4)= 4(-4)^2 + 3 = 64 + 3 = 67

inessss [21]3 years ago

3 0

Answer:

Step-by-step explanation:

f(x) = 4x² + 3

g(x) = 3x + 2

1. g (f(-2)) =

f(-2) = 4(-2)² + 3

= 4(4) + 3 = 19

g(f(-2)) = g(19) = 3(19) + 1 = 57 + 1 = 58

2. f(g(-2)) =

g(-2) = 3(-2) + 2

= -6 + 2 = -4

f(g(-2)) = f(-4) = 4 (-4)² + 3 = 4(16) + 3 = 64 + 3 = 67

You might be interested in

Identify the horizontal and vertical intercepts of the limacon represented by the equation r=4-6 sin theta.

NISA [10]

Answer:

Vertical intercepts: (-2,pi/2) and (-10,pi/2)

Horizontal intercepts: (4,0) and (-4,0)

Step-by-step explanation:

I took the test and got it right.

6 0

3 years ago

Read 2 more answers

Find the length of GF

Cerrena [4.2K]

By the Pythagorean Theorem:

The square of the hypotenuse (longest side) of a right triangle is equal to the sum of the side lengths squared, or mathematically:

h^2=x^2+y^2, where x and y are the side lengths and h is the length of the hypotenuse, in this case:

9.4^2=6.8^2+GF^2

GF^2=9.4^2-6.8^2

GF^2=42.12

GF=√42.12 units

GF≈6.49 units (to nearest hundredth of a unit)

3 0

3 years ago

Read 2 more answers

the slide at the playground has a height of 6 feet.The base of the slide measured on the ground is 8 feet.what is the length of

NemiM [27]

The formula for finding the length is
${a}^{2} + {b}^{2} = {c}^{2}$
All we have to do is plug in the numbers.

${6}^{2} + {8}^{2} = {c}^{2}$
36 + 64 = 100

Since 100 =
${c}^{2}$
we have to find the square root.

$\sqrt{100} = 10$

The length of the slide is 10 feet.

6 0

3 years ago

Algebra help please 100% correct only

shutvik [7]

2x + 3y + 2(x - y) - 3x

First you apply the distributive property:

2x +3y + 2(x) - 2(y) - 3x
2x + 3y +2x - 2y - 3x

The you combine like terms:

2x + 2x - 3x +3y - 2y
4x - 3x + y
x (x could also be 1x) + y (y could also be 1y)

The answer is x + y or 1x + 1y

5 0

4 years ago

Read 2 more answers

What is the formula for a proportional relationship

BigorU [14]

Answer:

y=kx

Step-by-step explanation:

6 0

3 years ago