Answer:
f⁻¹(x) = -(x+4) / 5
Step-by-step explanation:
Given function is :
f(x) = -5x-4
We have to find the inverse of given function.
Step 1. Put y = f(x) in given function
y = -5x-4
Step 2. Add 4 to both sides of above equation
y+4= -5x-4+4
y+4 = -5x
Step 3.Divide by -5 to both sides of above equation
y+4 / (-5) = -5x / (-5)
-(y+4) / 5 = x
Step 4 . Swap sides
x = -(y+4) / 5
Step 5. Put x = f⁻¹(y) in above equation
f⁻¹(y) = -(y+4) / 5
Step 6. replace y with x
f⁻¹(x) = -(x+4) / 5 which is the inverse of f(x) = -5x-4.
Answer:
.
Step-by-step explanation:
Answer:
what grade are you in and what school do you go to
Step-by-step explanation:
The value of home today is $ 424527.63
<em><u>Solution:</u></em>
Given that, Twenty years ago, Mr. Davis purchased his home for $160,000
Since then, the value of the home has increased about 5% per year
To find: Exponential function to find the value of home today
<em><u>The exponential growth function is given by:</u></em>
Where, "y" is the worth after "t" years
"a" is the initial amount
"r" is the rate of interest per year
From given information,
a = 160000
t = 20 years
Substituting the values we get,
Thus the exponential function is found
Let us find the value
Thus the value of home today is $ 424527.63
Short Answer B
Argument
A
A will give you x = +/- 5i
x^2 + 25 = 0
x^2 = - 25 Take the square root.
sqrt(x^2) = +/- sqrt(-25)
x = +/- (5)i which is a complex number.
B
Is the answer
x^2 = 25
sqrt(x)^2 = sqrt(25)
x = +/- 5
C
Can't be factored just by looking at it. You can show that C is not true just by putting 5 into the equation
f(x) = x^2 + 10x - 25
f(5) = 25 + 10*5 - 25
f(5) = 50
C is not true.
D
D can be eliminated as C was
f(x) = x^2 - 5x - 25
f(5) = -25 ( l'll let you show this is not true). 5 is not a solution because it does not make f(x) = 0
