Write simplified expressions for f (h (x)) and h (f (x))

f (x) = 8x-7 and h (x) = x+7 / 8

f (h (x)) = x

h (f (x)) = x

Step-by-step explanation:

f (x) = 8x-7

h (x) = x+7/8

We need to find f (h (x)) and h (f (x))

Finding f (h (x))

Putting value of h (x) into f (x) i. e

f (h (x)) = 8 (x+7/8) - 7

f (h (x)) = x+7-7

f (h (x)) = x

Now finding h (f (x))

h (f (x)) = (8x-7) + 7/8

h (f (x)) = 8x-7+7/8

h (f (x)) = 8x/8

h (f (x)) = x