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Inga [223]
3 years ago
10

Choose all the key words that indicate an exponential function.

Mathematics
1 answer:
Lelu [443]3 years ago
8 0

Answer: A, E and F.

Step-by-step explanation:

A simple exponential function is something of the form

f(x) = a*r^x

a is the initial amount

r is the factor of increase of decrease.

x is the variable.

then any increase or decrease by a given factor can be related to a exponential function so options A and E can be related to exponential functions.

Particularly, the option F says that the increase is by 23%.

So we have that the increase is:

A to A + 0.23*A = 1.23*A

So we have a factor of 1.23, this is also an exponential function.

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If f(x) =69-15x then f(f^-1(x))
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If f(x)=69-15x  then f(f^{-1}(x))=x

Given :

f(x)=69-15x\\

Lets find out f^{-1}(x). The steps to find out f inverse are

Replace f(x) by y

y=69-15x\\Interchange \; the \; variables\\x=69-15y\\solve \; for \; y\\x-69=-15y\\Divide \; by \; -15\\\frac{-x+69}{15} =y\\Replace \;y \;with \; f^{-1}\\f^{-1}=\frac{-x+69}{15}

Now we find f(f^{-1}(x))

Replace inverse function in the place of x in f(x)

f(f^{-1}(x))=f(\frac{-x+69}{15} )=69-15(\frac{-x+69}{15})=69-(-x+69)=69+x-69=x\\f(f^{-1}(x))=x

Learn more :

brainly.com/question/11242094

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Step-by-step explanation:

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