Question

Function: g(x)=2x^2-8.

Answer 1

The values of q, r, s, and t are:

• 0
• 2
• 3
• -3

Calculations and Parameters

The given function is $g(x) = 2x^2 - 8$

The inverse of g(x) for x ≥ 0 is $f(x) = \sqrt{\frac{1}{2}x+4}$

The inverse of g(x) for x ≤ 0 is $d(x) = -\sqrt{\frac{1}{2}x + 4}$

For x= -8

d(-8)= $-\sqrt{\frac{1}{2} (-8) + 4}$

q= d(-8) = 0

r= f(0)

f(x) = $\sqrt{\frac{1}{2}x + 4 } \\\sqrt{\frac{1}{2} (0) +4 }$

f(0)= \sqrt 4

f(0)= 2

r= 2

f(10)= \sqt 9

s= 3

t= d(10)

d(10)= -\sqrt9

t= -3

Read more about inverse functions here:

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