SOLUTION: Consider the functions f(x) = the square root of 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? Answ

Algebra ->  Rational-functions -> SOLUTION: Consider the functions f(x) = the square root of 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? Answ      Log On


   



Question 973147: Consider the functions f(x) = the square root of 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?
Answer choices:
A. 8
B. -8
C. -25
D. -26
E. 4 - 7 times the square root of 6
I'm completely flummoxed by how to approach this one.
Thank you for any help and an explanation.
Helen

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
y=sqrt%287x%2Bb%29

Given point on the graph, (4,6)

y%5E2=7x%2Bb
b=y%5E2-7x
and you are given x and y.....