Question

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

Answer 1

Step-by-step explanation:

g-f(3)=(6x-4+x²)(3)

=18x-12+3x²

Answer 2

The value of (g – f)(3) is 23

Solution:

Given that,

$f(x) = 4 - x^2\\\\ g(x) = 6x$

To find: (g – f)(3)

We know that,

$(g-f)x = g(x) - f(x)$

Substitute and solve,

$(g-f)x = 6x - (4 - x^2)\\\\(g-f)x = 6x - 4 + x^2$

Find (g – f)(3)

Substitute x = 3 in above

$(g - f)3 = 6(3) - 4 +3^2\\\\(g - f)3 = 18 - 4 + 9\\\\(g - f)3 = 14 + 9\\\\(g - f)3 = 23$

Thus the value of (g – f)(3) is 23

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