Let F ( X ) = 2 X 2212 1 , G ( X ) = 3 X , And H ( X ) = X 2 + 1 , What Is G(F(H(-6)))

Let f ( x ) = 2 x − 1 , g ( x ) = 3 x , and h ( x ) = x 2 + 1 , what is g(f(h(-6)))

Answer:

Step-by-step explanation:

A.) Solve for h(x) = x² + 1

h(-6) = (-6)² + 1

h(-6) = 36 + 1

B. Solve for f(h(-6)):

Where h(-6) = 37:

f(x) =2x - 1

f(37) = 2 (37) - 1

C. Solve for g(f(h(-6)) = 3x

Where: f(h(-6)) = 73

g(73) = 3x

g(73) = 3(73)

Therefore:

Or:

g(f(h(-6))) = 3 2 (-6² +1) - 1

= 3 2(37) - 1)

= 3 74-1

= 3 (73)

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