The function f(x) = 2x 1 represents the altitude of a plane, where x is the time in minutes. the function g(x) = x2 − 10 represe

Question

11 months ago

14

nts the time in minutes, where x is the height in thousands of feet of the plane. what is the value of f[g(10)]? 271 181 90 21

1 answer:

Lostsunrise [7] · Answer 1 · 2024-03-05T09:05:04+03:00

To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then $$g(x) =x^2-10$ exists g(10) = 90.

The value of g(10), we have to substitute in every x of f(x), the

$f(x) = 2x + 1$ exists f(90) = 181

Therefore, the value of f[g(10)] exists 181.

<h3>How to estimate the value of f[g(10)]?</h3>

To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then

$$g(x) =x^2-10$

substitute the value of x = 10

$$g(10) = (10)^2-10$

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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