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Assuming you want the inverse of f(x)=x²-2,
f(x)=x²-2
repalce f(x) with y
y=x²-2
switch x and y
x=y²-2
solve for y
x=y²-2
x+2=y²
√(x+2)=y
replace y with f⁻¹(x)
f⁻¹(x)=√(x+2)
the inverse is √(x+2)
Answer: B, No solution
Actual answer is:
[-1.33 -5]
[-2 -4]
3x² - 4 → A
(f + g)(x) = f(x) + g(x) = 2x² + 3 + x² - 7 = 3x² - 4