If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

Asked by maham237 @ 26/12/2020 in Mathematics viewed by 396 People

Answered by maham237 @ 26/12/2020

For this case we have the following functions:
$f (x) = 4 - x ^ 2

g (x) = 6x$
The first thing we must do is subtract both functions.
We have then:
$(g - f) (x) = g (x) - f (x)
$
Substituting values we have:
$(g - f) (x) = (6x) - (4 - x ^ 2)
$
Rewriting we have:
$(g - f) (x) = x ^ 2 + 6x - 4
$
Then, we evaluate the function for x = 3.
We have then:
$(g - f) (3) = 3 ^ 2 + 6 (3) - 4
$
Rewriting:
$(g - f) (3) = 9 + 18 - 4

(g - f) (3) = 23$
Answer:
An expression that is equivalent to (g - f) (3) is:
$(g - f) (3) = 23$

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

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