Inverse of a Function — Quiz

Question 8 • Precalculus

What are the additive and multiplicative inverses of h of x is equal to x minus 24 ?

Answer

additive inverse: j times x is equal to negative x plus 24 ; multiplicative inverse: k times x is equal to x plus 24

additive inverse: j times x is equal to x plus 24 ; multiplicative inverse: k times x is equal to the fraction with numerator 1 and denominator x minus 24

additive inverse: j times x is equal to the fraction with numerator 1 and denominator x minus 24 ; multiplicative inverse: k times x is equal to negative x plus 24

additive inverse: j times x is equal to negative x plus 24 ; multiplicative inverse: k times x is equal to the fraction with numerator 1 and denominator x minus 24

Explanation

The additive inverse of h(x) = x − 24 is −h(x), so j(x) = −(x − 24) = −x + 24. The multiplicative inverse is the reciprocal of h(x), so k(x) = 1/(x − 24), for x ≠ 24. These match choice D.

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