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Yakvenalex [24]
3 years ago
10

How to determine if two functions are inverses?

Mathematics
1 answer:
Oxana [17]3 years ago
3 0
You will compose the functions<span> (that is, plug x into one </span>function<span>, plug that </span>function<span> into the </span>inverse function, and then simplify) and verify that you end up with just "x". Here's what it looks like:Determine<span> algebraically whether f (x) = 3x – 2 and g(x) = </span>(x + 2)/3<span>are </span>inverses<span> of each other.</span>
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What is the value of a for the Exponential function in the graph represented in the form of f(x) =a(b^)
artcher [175]

Answer:

Step-by-step explanation:

When x=0, y = ab⁰ = a

The y-intercept of the graph is 3, so a=3.

7 0
3 years ago
James has a balance of $1700 on a credit card with an APR of 18.7%, compounded monthly. About how much will he save in interest
miss Akunina [59]

Answer:

  $121.51

Step-by-step explanation:

At 18.7%, the monthly multiplier is 1+.187/12, so for the year, James' balance is multiplied by (1+.187/12)^12 ≈ 1.2038899

At 12.5%, the monthly multiplier is 1+.125/12, so for the year, James' balance is multiplied by (1+.125/12)^12 ≈ 1.1324161

The difference in these multipliers is ...

  1.2038899 -1.13241605 = 0.0714739

so James' savings is ...

  $1700 × 0.0714739 ≈ $121.51

5 0
3 years ago
NO SCAM LINKS OR REPORT The length of a dollar bill is 6.14 inches. Which shows a way to represent the value of the 4 in this nu
Elden [556K]

Answer:

D.

Step-by-step explanation:

The 4 is in the hundredths place, so it represents 4 hundredths, or 4 x 1/100.

5 0
3 years ago
If the total area of a picture measuring 10 inches by 12 inches plus a matting of uniform width surrounding the picture is 224 s
ELEN [110]
Let
x-----------> <span>uniform width surrounding the picture

we know that
(10+2x)*(12+2x)=224-----> 120+20x+24x+4x</span>²=224
4x²+44x+120-224=0
4x²+44x-104=0

using a graph tool-----> to resolve the second order equation
see  the attached figure

the solution is
x=2 in

the answer is
2 inches

4 0
3 years ago
The length of a rectangle is twice its width. if the perimeter is 72 meters, find the length and width of the rectangle
madam [21]
Length(l)= 2w
width(w)= w

Perimeter(P)= 2w+2l= 72 (simplify expression: divide each side by 2 )
P= w+l= 36 (plug in "2w" for "l")
P= w+(2w)= 36
P= 3w= 36 (divide each side by 3 to find the width)
w= 12 units

find length:
l=2w
l= 2(12)
l= 24 units

Answer:
The length of this rectangle is 24 units and the width is 12 units.
6 0
3 years ago
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