Evaluate the function at the indicated values (if an answer is undefined enter undefined)
F(x)=1-3x/8,f(3),f(-3),f(1/3),f(a),f(-a),f(a-1)
F(3)=
F(-3)=
F(1/3)=
F(a)=
F(-a)=
F(a-1)=
To evaluate the function F(x) at the given values, substitute the values into the function and simplify:
F(x) = 1 - (3x/8)
F(3) = 1 - (3(3)/8) = 1 - (9/8) = -1/8
F(-3) = 1 - (3(-3)/8) = 1 + (9/8) = 17/8
F(1/3) = 1 - (3(1/3)/8) = 1 - (1/8) = 7/8
F(a) = 1 - (3a/8)
F(-a) = 1 - (3(-a)/8) = 1 + (3a/8)
F(a-1) = 1 - (3(a-1)/8) = 1 - (3a-3)/8 = (5-3a)/8
To evaluate the function at the indicated values, we substitute the given values into the function F(x)=1-3x/8. Here are the evaluations:
F(3):
Substitute x with 3 in the function: F(3) = 1 - 3(3)/8
Simplify: F(3) = 1 - 9/8
Simplify further: F(3) = -1/8
F(-3):
Substitute x with -3 in the function: F(-3) = 1 - 3(-3)/8
Simplify: F(-3) = 1 + 9/8
Simplify further: F(-3) = 17/8
F(1/3):
Substitute x with 1/3 in the function: F(1/3) = 1 - 3(1/3)/8
Simplify: F(1/3) = 1 - 1/8
Simplify further: F(1/3) = 7/8
F(a):
Substitute x with a in the function: F(a) = 1 - 3a/8
F(-a):
Substitute x with -a in the function: F(-a) = 1 - 3(-a)/8
F(a-1):
Substitute x with a-1 in the function: F(a-1) = 1 - 3(a-1)/8
Since no specific value is given for 'a' in the question, the evaluations for F(a), F(-a), and F(a-1) cannot be determined without knowing the value of 'a'.