consider the functions f(x)= √x and g(x)= 7x+b. In the standard (x,y) coordinate plane, y=f (g(x)) passes through (4,6). what is the value of b?
f(g(x)) = sqrt [ 7x + b ]
And we know that
sqrt [ 7(4) + b ] = 6 simplify and square both sides
28 + b = 36 subtract 28 from both sides
b = 8