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3 years ago

The one-to-one functions g and h are defined as follows.

Mathematics

1 answer:

never [62]3 years ago

3 0

Answer:

g^−1(7) = 6

h^−1(x) = x/2 + 3/2

(h^−1 ∘ h)(3) = 3

Step-by-step explanation:

g(6) = 7

Then

g^−1(7) = 6

h(x) = 2x - 3

Isolate x:

2x = h(x) + 3

x = h(x)/2 + 3/2

Replace x with h^−1(x) and h(x) with x:

h^−1(x) = x/2 + 3/2

We know that:

(h^−1 ∘ h)(x) = x

then:

(h^−1 ∘ h)(3) = 3

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25 – 4.33 7 + (1 - 100)

Sidana [21]

Answer:

25 – 4.33 = 20.67

7 + (1 - 100) = -92

Step-by-step explanation:

First one) Simply use your knowledge of integers and decimals to solve this. You can even start by drawing a number line and practising with that before beginning to do harder problems.

Second one) Just like the first one but use PEDMAS, BEDMAS or BODMAS and make sure to solve the brackets first.

6 0

2 years ago

You buy hamburgers at a fast food restaurant. A hamburger costs $0.49. You must have at most $3 to spend. Write an inequality fo

KIM [24]

Answer:

x ≤ 6.12

Step-by-step explanation:

If the cost of 1 hamburger in a restaurant is $0.49, the amount of hamburger $3 can buy is expressed as shown .

$0.49 = 1

$3 ≤ x (since you have maximum of $3 to spend. It cant be more than that)

cross multiply to find the expression for x.

$0.49 * x ≤ $3 * 1

$0.49x ≤ $3

Divide both sides by $0.49

$0.49x/$0.49 ≤ $3/$0.49

x ≤ $3/$0.49

x ≤ 6.12

The number of hamburgers you can buy is represented by the inequality x ≤ 6.12

4 0

2 years ago

at a farm the ratio of cows to horses was 10:3 if there were 20 cows at the farm how many horses were there?

Katen [24]

Cows=10 units
horses=3 units
if 20 cows then
10 units=20 then
1 unit=2
so horses=3 units
1 unit=2
2 times 3=6
6 horses

3 0

2 years ago

Read 2 more answers

Find g (a + 1 ), if g(x)=5x-3

nordsb [41]

Answer:

g(a+1)=5a+2

Step-by-step explanation:

so (a+1) is the value of x

you can write it like this:

x=a+1

using substitution, we can swap out all 'x's for 'a+1's. like so;

g(a+1)=5(a+1)-3 -- given

=5a+5-3 -- distribute

=5a+2 -- simplify!

Hope i helped! have a great day! please mark brainliest!!

5 0

3 years ago

The solution to -3(2 - 5x) = 3x + 12 is 1. -2.25 2. -1.625 3. 1.5 4. 3

Nonamiya [84]

Answer:

1.5

Step-by-step explanation:

i am not certain but this is how I got it

First distribute which gives you the -3 with 2 I switched them around so I did -3(-5x+2) and you will get 15x-6

Then the opposite of subtraction is addition so you add 6 to both sides so you add six to 12 and to 6 leaving you with 15x=3x+18 you then will subtract 3x from 15x and 3 leaving you with 12x=18 the divide the numbers

After you divide you get 3/2 then put it has a decimal and you get 1.5

3 0

3 years ago