Question

Let the functions F and g be defined by f(x) =-8x and g(x)=-3x+4 given that g(a) =25, what is the value of f(a)?

Answer 1

To find the value of f(a), we need to substitute the value of a into the function f(x) = -8x. First, we set g(a) = -3a + 4 = 25 and solve for a. Then we substitute the value of a into f(x) to find the value of f(a).

Step-by-step explanation:

To find the value of f(a), we need to substitute the value of a into the function f(x) = -8x. Since the value of g(a) is given as 25, we can find the value of a by setting g(a) = -3a + 4 = 25 and solving for a. Once we have the value of a, we can substitute it into the function f(x) = -8x to find the value of f(a).

1. Setting up the equation: -3a + 4 = 25
2. Solving for a: -3a = 21, a = -7
3. Substituting a into f(x): f(-7) = -8(-7) = 56