104. Find the inverse g for each function f. a. f(x) = 1/2x-3

1 answer:

6 0

Change f(x) y to make it easier.
y = 1/2x-3
switch y and the x.
x = 1/2y-3
Add 3 to both sides
x+3 = 1/2y
Multiply both sides by 2.
2x+6 = y
Therefore, f^-1(x) = 2x+6

You might be interested in

An extremely handsome math teacher was on a farm and he counted 32 animals; all pigs and chickens. Then he counted the number of

statuscvo [17]

Answer:

12 pigs and 20 chickens

Step-by-step explanation:

Chicken = 2 legs

Pig = 4 legs

(15 * 4) + (17 * 2) = 88 NO

(12 * 4) + (20 * 2) = 88 Yes, and 12 + 20 = 32

7 0

2 years ago

What is the perimeter of a rectangle that has a length of 40 Ft and a width of 17 ft?

statuscvo [17]

Answer:

i think 114ft

Step-by-step explanation:

5 0

1 year ago

Read 2 more answers

Please help I will mark brainlist if correct

djyliett [7]

Solving for L:

P = 2L + 2W
P - 2W = 2L
(P - 2W) / 2 = L
L = (P - 2W) / 2

8 0

3 years ago

In a survey of 300 T.V. viewers, 40% said they watch network news programs. Find the margin of error for this survey if we want

bixtya [17]

Answer:

Step-by-step explanation:

The formula for calculating the margin of error is expressed as;

$M.E = z * \sqrt{\frac{p*(1-p)}{n} }$ where;

z is the z-score at 95% confidence = 1.96 (This is gotten from z-table)

p is the percentage probability of those that watched network news

p = 40% = 0.4

n is the sample size = 300

Substituting this values into the formula will give;

$M.E = 1.96*\sqrt{\frac{0.4(1-0.4)}{300} }\\ \\M.E = 1.96*\sqrt{\frac{0.4(0.6)}{300} }\\\\\\M.E = 1.96*\sqrt{\frac{0.24}{300} }\\\\\\M.E = 1.96*\sqrt{0.0008}\\\\\\M.E = 1.96*0.02828\\\\M.E \approx 0.05543$

Hence, the margin of error for this survey if we want 95% confidence in our estimate of the percent of T.V. viewers who watch network news programs is approximately 0.05543

5 0

3 years ago

In a carnival game, a person wagers $2 on the roll of two dice. if the total of the two dice is 2, 3, 4, 5, or 6 then the pe

Olin [163]

Answer: a loss of 4 cents

<u>Step-by-step explanation:</u>

The probability of rolling a sum of 2, 3, 4, 5, or 6 is $\dfrac{15}{36}$ which earns $2.00