Question

Number 5.ind the indicated function given f(x)=2x^2+1 and g(x)=3x-5. When typing your answer if you have an exponent then use the carrot key ^ by pressing SHIFT and 6. Type your simplified answers in descending powers of x an do not include any spaces between your characters. (f \circ f)(-2) =Answer

Answer 1

(f o f)(-2) = 163

Step-by-step explanation:

(f o f)(-2) is equivalent to f(f(-2)). So, let's calculate what is f(-2) replacing x by -2 on the equation for f(x).

f(x) = 2x² + 1

f(-2) = 2(-2)² + 1

f(-2) = 2(4) + 1

f(-2) = 8 + 1

f(-2) = 9

Then, f(f(-2)) = f(9), so now we need to replace x by 9 on the equation of f(x)

f(x) = 2x² + 1

f(9) = 2(9)² + 1

f(9) = 2(81) + 1

f(9) = 162 + 1

f(9) = 163

Therefore, the value of (f o f)(-2) is 163.

(f o f)(-2) = f ( f(-2) ) = f( 9 ) = 163.