Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! What is the inverse of h?

Answer 1

Answer:   $\bold{D)\ h^{-1}(x)=\dfrac{1}{6}(x-1)}$

Step-by-step explanation:

Inverse is when you swap the x's and y's and solve for y.

I am going to substitute h(x) with "y" while solving this problem.

$y=6x+1\\\\\text{Swap the x's and y's}:\\x=6y+1\\\\\text{subtract 1 from both sides}:\\x-1=6y\\\\\text{Divide both sides by 6 to solve for y}:\\\dfrac{1}{6}(x-1)=y$

Answer 2

Answer:

D

Step-by-step explanation:

h(x) = 6x + 1

y = 6x + 1

switch x and y

x = 6y + 1

solve for y

6y = x - 1

y = (x-1) / 6