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):

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

(g∘ f)(3):

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

That is the full solution.