Answer:
[tex]\bold{f(x)=-\frac{1}{2}}[/tex]
Step-by-step explanation:
[tex]f(x)= x^2-\frac{3}{2}[/tex] replace x with -1
[tex]f(x)= -1^2-\frac{3}{2}[/tex] solve exponents
-1² = -1 × -1 = 1
[tex]f(x)= 1-\frac{3}{2}[/tex] subtract
[tex]\bold{f(x)=-\frac{1}{2}}[/tex]
