Question

If
f(x) = 4x + 3
and
g(x) = x - 7
Find
g(f(x)) = [ ? ]× + [ ]

Answer 1

g(f(x)) = 4x - 4 = [4]x + [-4]

Explanation:

To find g(f(x)), we first need to evaluate f(x), and then substitute the result into g(x):f(x) = 4x + 3

Substituting f(x) into g(x), we get:g(f(x)) = g(4x + 3)

Now we can evaluate g(f(x)):g(f(x)) = g(4x + 3) = (4x + 3) - 7 = 4x - 4

Therefore, g(f(x)) = 4x - 4, which means the equation is in the form of y = mx + b, where the slope m is 4 and the y-intercept b is -4. So, [?] = 4 and [ ] = -4, and we can write:g(f(x)) = 4x - 4 = [4]x + [-4]