Question 1006791
I'm assuming when you write (f*g)(x), you really mean "f times g of x" and it is NOT function composition. If it is function composition, then please let me know.



{{{f(x) = sqrt(4x-1)}}}



{{{f(4) = sqrt(4*4-1)}}} Replace every x with 4.



{{{f(4) = sqrt(16-1)}}}



{{{f(4) = sqrt(15)}}}



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{{{g(x) = x^2-10}}}



{{{g(4) = 4^2-10}}} Replace every x with 4



{{{g(4) = 16-10}}}



{{{g(4) = 6}}}



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{{{(f*g)(x) = f(x)*g(x)}}}



{{{(f*g)(4) = f(4)*g(4)}}} Replace every x with 4



{{{(f*g)(4) = f(4)*g(4)}}} Replace {{{f(4)}}} with {{{sqrt(15)}}}



{{{(f*g)(4) = sqrt(15)*6}}} Replace {{{g(4)}}} with {{{6}}}



{{{(f*g)(4) = 6*sqrt(15)}}} Exact value



{{{(f*g)(4) = 23.2379000772446}}} Approximate value (use a calculator)