Question

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Answer 1

Answer:

a. $f^-^1(x)=\frac{x}{4} +3$

b. $f(-9)=-48$

c. $f^-^1(-9)=\frac{3}{4}$

Step-by-step 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.

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

$y=4x-12$

$x=4y-12$

$x+12=4y$

$\frac{x}{4} +3=y$

$f^-^1(x)=\frac{x}{4} +3$

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.

$f^-^1(-9)=\frac{3}{4}$