Question

If f(x)=-x+1,g(x)=4x+2, and h(x) = x^(2)-1 find each value for (3f+2h)(0)

Answer 1

To find the value of (3f + 2h)(0), substitute x = 0 into the functions f(x) and h(x), and evaluate the expression.

Step-by-step explanation:

To find the value of (3f + 2h)(0), we substitute x = 0 into the functions f(x) and h(x) separately, and then evaluate the expression (3f + 2h)(0).

First, we find f(0) by substituting x = 0 into f(x) = -x + 1:
f(0) = -0 + 1 = 1.

Next, we find h(0) by substituting x = 0 into h(x) = x^2 - 1:
h(0) = 0^2 - 1 = -1.

Now we can evaluate (3f + 2h)(0) using the values we found:
(3f + 2h)(0) = (3*1 + 2*(-1))(0) = (3 - 2)(0) = 1(0) = 0.