Ask question

Ask question

All categories

2 years ago

10

Given f (g (x)) = x + 4 and f (x) = 3x + 5, find g (x).

1 answer:

JulijaS [17]2 years ago

5 0

Answer:

g(x) = $\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}$

Step-by-step explanation:

f(x) = 3x + 5

f[g(x)] = 3[g(x)] + 5

⇒ 3[g(x)] + 5 = x + 4

⇒ 3[g(x)] = x + 4 - 5

⇒ 3[g(x)] = x - 1

⇒ g(x) = $\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}$

You might be interested in

There are 520 marbles in a jar. The ratio of red to yellow marbles is 3:4 and the ratio of yellow to blue marbles is 2:3. What i

frutty [35]

Answer:

Step-by-step explanation:

Change the 2/3 to 4/6

Now the ratio becomes 3:4:6

So the number of each is

3x + 4x + 6x = 520

13x = 520

x = 40

Red = 3*40 = 120

Yellow = 4*40 = 160

Blue = 6 * 40 = 240

Total = 520

7 0

3 years ago

Find the volume of a cone with a base radius of 6 yd and a height of 12 yd

anygoal [31]

Answer:

452.38934 yd^3

Step-by-step explanation:

5 0

2 years ago

1/7 x X =1 <br> X x 1/11=1<br> 1 divided by 1/5=

guajiro [1.7K]

Answer:

x = 7
x = 11
5

Step-by-step explanation:

$\frac{1}{7} \times x = 1$

$7 \times \frac{1}{7} x = 7 \times 1$

$7 \times \frac{1}{7} x = 7$

$\boxed{\green{x = 7}}$

◇◇•◇◇

$x \times \frac{1}{11} = 1$

$\frac{1}{11} x = 1$

$11 \times \frac{1}{11} x = 11 \times 1$

$11 \times \frac{1}{11} x = 11$

$\boxed{\green{x = 11}}$

♤♤•♤♤

$1 \div \frac{1}{5} = 1 \times \frac{5}{1}$

$1 \times 5$

$\boxed{\green{= 5}}$

4 0

2 years ago

What is the slope of a line perpendicular to the line passing through (1, -3) and (-4, 7)?

andrezito [222]

Answer:

-2

Step-by-step explanation:

m= $\frac{y2-y1}{x2-x1}$

7 0

3 years ago

You have $23 in your bank account. You use you debit card and to pay for an item that costs $31. Your bank charges you a $40 ove

vitfil [10]

Your account is gonna be negative 48$

4 0

3 years ago

Read 2 more answers