Answer
$-5$
Work Step by Step
RECALL:
$(g-f)(x) = g(x) - f(x)$
Using the formula above gives:
$(g-f)(x) = (x^2-5) -(-2x+3)
\\(g-f)(x)= x^2-5-(-2x)-3
\\(g-f)(x)= x^2-5+2x-3
\\(g-f)(x)= x^2+2x-8$
Thus, to evaluate the given expression, substitute 1 to the equation above to obtain:
$g(1) -f(1)
\\= (g-f)(1)
\\= 1^2+2(1)-8
\\=1+2-8
\\=3-8
\\=-5$