If fx 16 x 2 1 and gx sqrtx Find fgx Simplify if pos

If f(x) = 16 * ( x ^ 2 ) + 1             and    g(x) = sqrt(x) .

Find f(g(x)). Simplify if possible.

sqrt( ) is the square-root function.     c^b is the exponential function, c raised to the b power.

Solution

f(x) = 16x^2 +1 ; g(x) = sqrt(x)

To find f(g(x))

Plug x = g(x) in f(x)

f(g(x)) = 16(sqrt(x) )^2 +1

= 16x +1