evaluate if possible the function at the given values(s) of the independent variable. Simplify the results.
f(x)=7x-4
a) f(0)
b) f(-3)
c) f(b)
d) f(x-1)
f(x)=7x-4
So, you substitute:
a. 7(0)-4=-4
b. 7(-3)-4=-25
can you take it from here?
To evaluate the function at a given value of the independent variable, we substitute the given value into the function equation and simplify the result.
a) f(0)
To evaluate f(0), we substitute x = 0 into the function equation:
f(0) = 7(0) - 4 = 0 - 4 = -4
b) f(-3)
To evaluate f(-3), we substitute x = -3 into the function equation:
f(-3) = 7(-3) - 4 = -21 - 4 = -25
c) f(b)
To evaluate f(b), we substitute x = b into the function equation:
f(b) = 7(b) - 4 = 7b - 4
d) f(x-1)
To evaluate f(x-1), we substitute x = (x-1) into the function equation:
f(x-1) = 7(x-1) - 4 = 7x - 7 - 4 = 7x - 11
Simplified results:
a) f(0) = -4
b) f(-3) = -25
c) f(b) = 7b - 4
d) f(x-1) = 7x - 11
To evaluate the function f(x) = 7x - 4 at specific values of the independent variable x, you simply substitute those values into the function and simplify the expression.
a) f(0)
To evaluate f(0), substitute x = 0 into the function:
f(0) = 7(0) - 4
Simplifying, f(0) = -4
b) f(-3)
To evaluate f(-3), substitute x = -3 into the function:
f(-3) = 7(-3) - 4
Simplifying, f(-3) = -21 - 4 = -25
c) f(b)
To evaluate f(b), substitute x = b into the function:
f(b) = 7(b) - 4
Simplifying, f(b) = 7b - 4
d) f(x-1)
To evaluate f(x-1), substitute x - 1 into the function:
f(x-1) = 7(x-1) - 4
Simplifying, f(x-1) = 7x - 7 - 4 = 7x - 11