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Answer :
To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then [tex]$g(x) =x^2-10[/tex] exists g(10) = 90.
The value of g(10), we have to substitute in every x of f(x), the
[tex]f(x) = 2x + 1[/tex] exists f(90) = 181
Therefore, the value of f[g(10)] exists 181.
How to estimate the value of f[g(10)]?
To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then
[tex]$g(x) =x^2-10[/tex]
substitute the value of x = 10
[tex]$g(10) = (10)^2-10[/tex]
simplifying the equation, we get
g(10) = 100 - 10
g(10) = 90
We have the value of g(10), we have to substitute in every x of f(x), then
f(x) = 2x + 1
substitute the value of x = 90
f(90) = 2(90) + 1
simplifying the equation, we get
f(90) = 180 + 1
f(90) = 181
The value of f[g(10)] exists 181.
Therefore, the correct answer is option b) 181.
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The value of f[g(10)] is calculated by substituting 10 into g(x) to get 90, and then substituting 90 into f(x) to get the final result of 181.
The question asks for the value of f[g(10)] where f(x) = 2x + 1 and [tex]g(x) = x^2 - 10.[/tex]
First, we need to find the value of g(10).
By substituting 10 into g(x), we get [tex]g(10) = 10^2 - 10[/tex] = 100 - 10 = 90.
Next, we substitute this result into the function f to find f(g(10)).
We then have f(90) = 2(90) + 1 = 180 + 1 = 181.
Therefore, the value of f[g(10)] is 181.
