You should know that <span>(g o f)(x) is the same as g(f(x)), or g of f(x). To solve for g(f(x)), substitute whatever f(x) equals as x into g(x).
So, if you have the two functions
g(x) = x^2
f(x) = 2x + 4,
you substitute what f(x) equals as x into the g(x) equation.
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After simplifying The answer is -8/3
Which letter are you solving for?
F(-10)=-2, f(-8)=5, and f is continuous. All these mean that f(x) is 0 for x in between -10 and -8.
That is, f at -10 is negative, then at -8 is positive. So the graph of f "cuts" the x-axis for an x value in (-10, -8).
Since there is only one value such that f(x)=0, x can only be -9.
Answer: -9