Question

18. Find the inverse of {(4, -1), (3, -2), (6, 9), (8, 5)}.

F. {(8, 5), (6, 9), (3, -2), (4, -1)}

H. {(-1, 4), (-2, 3), (9, 6), (5, 8)}

G. {(-4, 1), (-3, 2), (-6, -9), (-8, -5)}

J. {(-1, -2), (9, 5), (4, 3), (6, 8)} 19.



19.
If f (x) = 3x - 4, find f -1 (x).

A f -1 (x) = 4x - 3 B f -1 (x) = − x + 4 3 C f -1 (x) = − x - 4 3

D f -1 (x) = -4 - 3x 20. If f (x) = 8(5x - 2), find f -1 (x).

F f -1 (x) = − 5x + 2 8 G f -1 (x) = − 5x - 2 8 H f -1 (x) = − x - 16 40

J f -1 (x) = −

Answer 1

Answer:y=3x-4

y+4=3x

(y+4)/3=x so the inverse function is:

y=(x+4)/3

Explanation:

Answer 2

An inverse function will simply reverse the coordinate pairs of the original function. If f(x)=(x,y), f^-(x)=(y,x).

So 18 is H

...

If f(x)=y=3x-4, to find the inverse function, solve for x, and then reverse the labels as seen below...

y=3x-4

y+4=3x

(y+4)/3=x so the inverse function is:

y=(x+4)/3