Question

Given the functions, F (x)=√(2x-5) and g(x) = 3x 2 + 2, perform the indicated operation. f(g(x))

Answer 1

Answer:

$f(g(x)) =\sqrt{6x^2-1}$

Step-by-step explanation:

Given

f(x) = √2x-5

and

g(x) = 3x^2+2

We have to find the composition of both function

f(g(x)) means that we have to put function g in place of x in function f.

$f(g(x))= \sqrt{2*g(x)-5}\\ =\sqrt{2(3x^2+2)-5}\\=\sqrt{6x^2+4-5}\\=\sqrt{6x^2-1}$

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