Question

For the given functions f and g, find the indicated value.f(x) = 12/x+1, g(x) = x-7(g∘ f)(3)

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

f(x) = 12 / (x + 1)

g(x) = | x - 7 |

Step 02:

composite functions:

(g∘ f)(x):

`(g\text{ }\circ f)(x)=|(12)/(x+1)-7|\text{ = \mid}(12-7x-7)/(x+1)|=|(-7x+5)/(x+1)|`

(g∘ f)(3):

`(g\text{ }\circ f)(3)=|(12)/(3+1)-7|=|(12)/(4)-7|=|3-7|=|-4|=4`

That is the full solution.