Question

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 ? A. 8 B. -8 C. -25 D. -26 E. 4-776

Answer 1

Answer:

$\bold {Our \: \: final \: \: answer \: \: is \: \: A \: , \: b=8.}$

Step-by-step explanation:

We know from working with nested functions that we must work inside out. So we must use the equation for the function g(x) as our input value for function f (x).

$\implies \sf \: f(g(x))=7x+b$

Now we know that this function passes through coordinates (4, 6), so let us replace our x and y values for these givens.

$\sf (Remember: \: the \: \: name \: \: of \: \: the \: \: function \: \: —in \: \: this \: \: case  \: \: \\ \sf \: f(g(x))— \: \: acts \: \: as \: \: our \: \: y \: \: value).$

$\implies \sf \: 6 \: = \: 7(4) \: + \: b$

$\implies \sf36 \: = \: 7(4)+b$

$\implies \sf \: 36 \: = \: 28+b$

$\implies \large \bold {8 \: = \: b}$

Our final answer is A, b=8.

Answer 2

Step-by-step explanation:

ujwhj end mark as brainlist answer