Find the inverse of f(x)= 1+ square root (1+x)

Mathematics

2 answers:

Soloha48 [4]3 years ago

3 0

Here is the best answer in the world x^2-2x

galben [10]3 years ago

3 0

To find inverse
replace f(x) with y
replace all x with y and all y with x
solve for y
replace y with f⁻¹(x)

so
f(x)=1+√(1+x)
y=1+√(1+x)
x=1+√(1+y)
minus 1 both sides
x-1=√(1+y)
square both sides
x²-2x+1=1+y
minus 1 both sides
x²-2x=y
f⁻¹(x)=x²-2x

the inverse is f⁻¹(x)=x²-2x

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A shopper’s discount club charges a monthly fee of $15 and sells gasoline for $2.05 per gallon. The gas station across the stree

NeX [460]

Answer:

15 + 2.05 x = 2.35 x

Step-by-step explanation:

Let x be the number of gallons you would have to buy for the two places to be the same.

At the club, there is a monthly fee of $15 that is charged once in a month. They also charge $2.05 per gallon, which is charged every gallon of gas you buy.

We can write an expression: 15 + 2.05 x

At the gas station, they charge $2.35 per gallon with no other fees.

We can also write an expression: 2.35 x

For the prices to be the same, we have 15 + 2.05 x = 2.35 x

If we were to solve, then we have:

(2.35 - 2.05) x = 15

x = 15 / 0.3 = 50 gallons

8 0

3 years ago

I couldnt deal with it...

Nikolay [14]

Answer: