All categories

3 years ago

F(x)=4x+1 and g(x)=x^2-5find(f-g)(x)

Mathematics

1 answer:

Vinvika [58]3 years ago

4 0

Answer:

Step-by-step explanation:

Given f(x)=4x+1 and g(x)=x²-5

(f-g)(x) is derived by taking the difference of both functions

(f-g)(x) = f(x)-g(x)

(f-g)(x) = 4x+1 - (x²-5)

(f-g)(x) = 4x+1-x²+5

(f-g)(x) = -x²+4x +6

This gives the requires expression

You might be interested in

Just in case my car goes off the highway

Zina [86]

Answer:

The song is from the artist NF lol Hes one of my favs

The song is called Just Like You \(^w^)/

Step-by-step explanation:

4 0

2 years ago

The quadratic function g(x) = ax^2 + bx + c has the complex roots (-5+9i) and (-5-9i). (you may assume that a = -1) what is the

gavmur [86]

Answer:

b = -10, c = -106

Step-by-step explanation:

<h3>Given</h3>

<u>Quadratic function </u>

g(x) = ax^2 + bx + c

with the roots:

(-5+9i) and (-5-9i)

b and c if a = -1

<h3>Solution</h3>

<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>

(-5 + 9i) + (-5 - 9i) = -b/-1
-10 = b
b = -10

And

(-5 + 9i)(-5 - 9i) = c/-1
(-5)² - (9i)² = -c
25 - 81(-1) = -c
- c = 25 + 81
- c = 106
c = -106

g(x) = -x² -10x - 106

4 0

2 years ago

For the following pairs of equations explain why the equations are NOT equivalent.

Serga [27]

If you were to make both x's equivalent, you'd have to multiply the first equation by 2 to get rid of the coefficient, 1/2. However, you'd have to multiply 2 onto -8 as well, therefore the equation would turn into x - 16 = 18. That is not equivalent to x - 8 = 18.

7 0

2 years ago

What is 86% written as a fraction in simplest form

WINSTONCH [101]

86% written as a fraction is 43/50

6 0

2 years ago

Read 2 more answers

3.x + y = 11<br> Y = x + 3

PSYCHO15rus [73]

Answer:

x = 2

Step-by-step explanation:

3.x + y = 11 (eq 1)

Y = x + 3 (eq 2)

sub 2 into 1

3x + x + 3 = 11

4x + 3 = 11

4x = 8

x = 2

4 0

3 years ago