Find f(g(x)) f(x)=2x-6 , g(x)=x^2+9

Problem

ƒ(g(x))* where *ƒ(x)=2*x−6,g(x)=x2+9

Solution

1. Identify the outer function ƒ(x) and the inner function g(x)

2. Substitute the entire expression for g(x) into every instance of x in the function ƒ(x)

ƒ*(g(x))=2*(x2+9)−6

3. Distribute the constant 2 into the terms inside the parentheses.

ƒ*(g(x))=2*x2+18−6

4. Simplify the expression by combining the constant terms.

ƒ*(g(x))=2*x2+12

Final Answer

ƒ*(g(x))=2*x2+12

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