Question

F(x) = x+8 square root; g(x) = 8x - 12. find f(g(x)).

Answer 1

To find the composite function f(g(x)), substitute g(x) = 8x - 12 into f(x), resulting in f(g(x)) = √(8x - 12) + 8 as the final form.

Step-by-step explanation:

Composition of Functions

When finding the composite function f(g(x)), we need to insert the function g(x) into the function f(x). Here, f(x) = √x + 8 and g(x) = 8x - 12. To find f(g(x)), we substitute g(x) into f(x):

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I this case, the result f(g(x)) = √(8x - 12) + 8 is the final simplified form of the composition of the functions f and g.

Answer 2

hello :
f(x) = √(x+8) and g(x) = 8x -12
f(g(x)). = f(5x-12) = √((8x-12)+8) = √(8x-4)