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Kevin Danikowski · Answer 1 · 2021-10-08T20:20:01+0000

Answer:

a.
f^-^1(x)=(x)/(4) +3

b.
f(-9)=-48

c.
f^-^1(-9)=(3)/(4)

Explanation:

In a, the -1 means inverse of f(x). To find the inverse, you rewrite the equation in terms of x and y. You replace the x with y and y with x. Then you solve for y.

f^-^1(x)=4x-12

y=4x-12

x=4y-12

x+12=4y

(x)/(4) +3=y

f^-^1(x)=(x)/(4) +3

In b, all you have to do is plug in -9 into f(x).

f(9)=4(9)-12

f(9)=-48

In c, you plug in -9 into inverse function f.

f^-^1(-9)=(3)/(4)

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