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3 years ago

What is the inverse of h?

Mathematics

1 answer:

mojhsa [17]3 years ago

7 0

You need to define h(x) to find its inverse.
The general answer is to replace h(x)= with y=. Then you make x the subject of the equation so that you get x= some function of y. That function is the inverse of the original function.
Example: h(x)=2x+5. Write y=2x+5. Now solve for x: x=(y-5)/2 so h⁻¹(y)=(y-5)/2 and h⁻¹(x)=(x-5)/2 is the inverse of h(x).

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I need help ASAP. Please solve and show <br><br> 3x-4+1=-2x-5+5x

USPshnik [31]

Answer:

$\large \boxed{\text{There is no solution}}$

Step-by-step explanation:

$\begin{array}{rcll}3x - 4 + 1 & = & -2x - 5 + 5x & \\3x - 3 & = & 3x - 5 & \text{Combined like terms on each side}\\-3 & = & -5 & \text{Subtracted 3x from each side}\\\end{array}\\\text{This is impossible. There is $\large \boxed{\textbf{no solution}}$ to the equation.}$

6 0

3 years ago

The sides OP and RO of triangle POR are produced to points S and T respectively. If ∠SPR = 145° and ∠POT = 115° , find ∠PRO

Margarita [4]

Answer:

$\angle PRQ = 80$

Step-by-step explanation:

Given

$\angle SPR = 145^o$

$\angle POT = 115^o$

See attachment

Required

Find $\angle PRO$

First, calculate $\angle RPO$

$\angle RPO + \angle SPR = 180$ --- angle on a straight line

So, we have:

$\angle RPO + 145 = 180$

Collect like terms

$\angle RPO = 180 - 145$

$\angle RPO = 35$

Next, calculate PQR

$\angle POR + \angle POT = 180$

So, we have:

$\angle POR + 115 = 180$

Collect like terms

$\angle POR = 180-115$

$\angle POR = 65$

So, PRO is calculated as:

$\angle PRO + \angle POR + \angle RPO = 180$ --- angles in a triangle

So, we have:

$\angle PRO + 65 + 35= 180$

$\angle PRO + 100= 180$

Collect like terms

$\angle PRO = 180-100$

$\angle PRO = 80$

3 0

3 years ago

A penguin walks 15 feet in 9 seconds.

shtirl [24]

Answer:

12 seconds.

Step-by-step explanation:

If you put it like 15/9 = 20/x, then cross multiply and divide you do 9 times 20 you get 180, then you divide 180 by 15 and you get 12. Hope this helps!

4 0

3 years ago

Read 2 more answers

Given the relation y = 7x2 + 3, if the input is 4, what is the output? (4 points)

aivan3 [116]

I'm assuming that you meant:
y = 7x² + 3

Remember! Inputs are always x values (unless stated otherwise). Meaning the problem says:
x = 4

y = 7(4)² + 3

The square only applies to the 4. The 7 is not going to be squared! (To be exact it only applies to whatever the value of x is.

4² = 4·4 = 16

Remember:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Follow PEMDAS from left to right (or in the case above from top to bottom).

7·16 + 3 = ?

16·7 = 10·7 + 6·7 = 70 + 42 = 112
(All I did to multiply was break it up into parts. If it confuses you don't worry about it, and just multiply it out like normal or use a calculator if you are allowed to)

112 + 3 = ?

Our output is:
115!

4 0

3 years ago

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Definitely confused..........

kirill [66]

Well how do you think i feel ?

3 0

3 years ago