All categories

2 years ago

If f(x) = x2 – 2x and g(x) = 6x 4, for which value of x does (f g)(x) = 0? –4 –2 2 4

Mathematics

1 answer:

Natali [406]2 years ago

4 0

The sum of function is a way of adding two or more functions together

The values of x for which f(g(x)) = 0 are -2/3 and -1/3

<h3>Sum of functions</h3>

The sum of function is a way of adding two or more functions together

Given the following functions

f(x) = x² - 2x

g(x) = 6x + 4

f(g(x) = f(6x +4))

f(6x+4) = (6x+4)² - 2(6x+4)
(6x+4)² - 2(6x+4) = 0
(6x+4) = 0 and 6x+4-2 = 0
x = -2/3 and -1/3

Hence the values of x for which f(g(x)) = 0 are -2/3 and -1/3

Learn more on functions here: brainly.com/question/2833285

#SPJ4

You might be interested in

Find the inverse of h(x)=(2x-4)/3

Agata [3.3K]

Answer:

The inverse of the h(x) is $h^{-1}(x)=\frac{3x}{2}+2$ Step-by-step explanation:

Given : Expression $h(x)=\frac{2x-4}{3}$

To find : The inverse of the expression ?

Solution :

Expression $h(x)=\frac{2x-4}{3}$

Let, h(x)=y then $y=\frac{2x-4}{3}$

For inverse we replace the value of x and y and find the value of y in terms of x.

Replace the value of x and y,

$x=\frac{2y-4}{3}$

Solve for y by cross multiply,

$3x=2y-4$

Adding 4 both side,

$3x+4=2y$

Dividing by 2 both side,

$\frac{3x+4}{2}=y$

Therefore, The inverse of the h(x) is $h^{-1}(x)=\frac{3x}{2}+2$

5 0

3 years ago

Read 2 more answers

A city has a population of 210,000 people. Suppose that each year the population grows by 8%. What will the population be after

Ratling [72]

Answer:

in 13 years it will be at 432,480

Step-by-step explanation:

8 0

2 years ago

Find the value of y.<br><br> A. 25.5<br> B. 18<br> C. 75<br> D. 36

Paladinen [302]

Answer: 18

Step-by-step explanation: Angles opposite of each other in a trapezoid equal 180 minus each other so 180 - 105 = 75 so 75 = 4y + 3

Subtract 3 from both sides

72 = 4y

Divide by 4

y = 18

8 0

3 years ago

What percent is equivalent to 1/20

olganol [36]

Answer:

1/20 is 5%

Step-by-step explanation:

1/20 = 5%

20/20 = 100%

100 ÷ 20 = 5%

1/20 x 100 = 0.05 x 100 = 5%

5 0

3 years ago

Read 2 more answers

The scatter plot below shows a linear association. Which is the best linear model for the data?

Ivanshal [37]

Answer:

ye its y=5x-10

Step-by-step explanation:

7 0

3 years ago