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3 years ago

Find inverse of f(x)=3x+1

1 answer:

6 0

First, replace f(x) with y.

So we have now:

y = 3x + 1

Next, switch the x and y.

We get:

x = 3y + 1

Finally, solve for y.

3y = x - 1

y = x/3 - 1/3

So, we have f(x) = 3x + 1, and the inverse of this function is:

$\boxed{f^{-1}(x) = \frac{1}{3} x - \frac{1}{3}}\\\\OR\\\\\boxed{f^{-1}(x) = \frac{x-1}{3}}$

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Make x the subject of the formula<br> х<br> +12c = 5d<br> 63

dezoksy [38]

X=5db^3-2cb^3
Workup in photo below.
Good luck

7 0

3 years ago

Which function has an average rate of change of -4 over the interval [-2,2]?

kolbaska11 [484]

Only p(x) has an average rate of change of -4 over [-2, 2].

Find the average rate of change of each given function over the interval [-2, 2]]:

The average rate of change of m(x) over [-2, 2]:

<h3>What is the average rate?</h3>

The average rate of change = $\frac{m(b)-m(a)}{b-a}$

Where, a = -2, m(a) = -12

b = 2, m(b) = 4

Plug the values into the equation

The average rate of change

$=\frac{4-(-12)}{2-(-2)} =\frac{16}{4}$

The average rate of change = 4

The average rate of change of n(x) over [-2, 2]:

The average rate of change = $\frac{n(b)-n(a)}{b-a}$

Where, a = -2, n(a) = -6

b = 2, n(b) = 6

Plug the values into the equation

The average rate of change

$=\frac{6-(-6)}{2-(-2)} \\=\frac{12}{4}$

The average rate of change = 3

The average rate of change of q(x) over [-2, 2]:

The average rate of change = $\frac{q(b)-q(a)}{b-a}$

Where, a = -2, q(a) = -4

b = 2, q(b) = -12

Plug the values into the

The average rate of change = $\frac{-4-12}{2-(-2)}$

= $\frac{-16}{4}$

The average rate of change = -2

The average rate of change of p(x) over [-2, 2]:

The average rate of change = $\frac{p(b)-p(a)}{b-a}$

Where, a = -2, p(a) = 12

b = 2, p(b) = -4

Plug the values into the equation

The average rate of change = $\frac{-4-12}{2-(-2)}$

$=\frac{-16}{4}$

The average rate of change = -4

The answer is D.

Only p(x) has an average rate of change of -4 over [-2, 2].

To learn more about the average rate of visit:

brainly.com/question/8728504

#SPJ1

8 0

2 years ago

In a recent survey of 974 voters, 724 indicated that they were in favor of a new city park, while the other 250 voters said that

Marrrta [24]

250/974 = x/40,000...250 opposed to 974 total = x opposed to 40,000 total
cross multiply because this is a proportion
974x = 10,000,000
x = 10,000,000/974
x = 10266.94 rounds to 10,267 <==

3 0

3 years ago

An insurance company divides its policyholders into low-risk and high-risk classes. 60% were in the low-risk class and 40% in th

AleksAgata [21]

Answer:

a). 0.294

b) 0.11

Step-by-step explanation:

From the given information:

the probability of the low risk = 0.60

the probability of the high risk = 0.40

let $C_o$ represent no claim