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ruslelena [56]
4 years ago
11

Easy - Math - INVERSES - NEED ASAP PLEASE AND THANK YOU VERY MUCH!

Mathematics
1 answer:
polet [3.4K]4 years ago
5 0

Answer:

Part 1) No

Part 2) Option 4. f^{-1}(x)=-\frac{1}{3}x+3

part 3) f^{-1}(9)=4

Step-by-step explanation:

Part 1) we have

f(x)=8x-3

g(x)=(x+8)/3  

Find the inverse of f(x) and then compare with g(x)

Let

y=f(x)

y=8x-3

Exchange the variables x for y and y for x

x=8y-3

Isolate the variable y

8y=(x+3)

y=(x+3)/8

Let

f^{-1}(x)=y

f^{-1}(x)=(x+3)/8

therefore

the functions f(x) and g(x) are not inverses of each other

Part 2) we have

f(x)=-3x+9

Let

y=f(x)

y=-3x+9

Exchange the variables x for y and y for x

x=-3y+9

Isolate the variable y

3y=-x+9

y=(-x+9)/3

Let

f^{-1}(x)=y

f^{-1}(x)=(-x+9)/3

f^{-1}(x)=-\frac{1}{3}x+3

Part 3) we know that

For x=4, f(x)=9

so

For x=9, f^{-1}(9)=4

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