Question

If f(x)=-9x-9 and g(x)=x-9 what is (f g)(10)

Answer 1

Answer:

The answer is -18 on PLATO.

Step-by-step explanation:

Answer 2

$\boxed{ (f \circ g)(10)=f(g(10))=-18}$

Explanation:

I think you this exercise is about composition of functions. The definition of composition of functions states:

$The \ \mathbf{composition} \ of \ the \ function \ f \ with \ the \ function \ g \ is:\\ \\ (f \circ g)(x)=f(g(x)) \\ \\ The \ domain \ of \ (f \circ g) \ is \ the \ set \ of \ all \ x \ in \ the \ domain \ of \ g \\ such \ that \ g(x) \ is \ in \ the \ domain \ of \ f$

In this exercise both the function $f$ and $g$ are straight lines, so the domain for both functions is the set of all real numbers, hence $g(x)$ is in fact in the domain of $f$. So:

$(f \circ g)(x)=f(g(x))=-9(x-9)-9 \\ \\ Simplifying: \\ \\ f(g(x))=-9x+81-9 \\ \\ f(g(x))=-9x+72 \\ \\ \\ So \ for \ x=10 \\ \\ (f \circ g)(10): \\ \\ f(g(10))=-9(10)+72 \\ \\ f(g(10))=-90+72 \\ \\ \boxed{ (f \circ g)(10)=f(g(10))=-18 }$

Learn more:

Transformation of functions: brainly.com/question/12469649

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