help with domain and range? Find the inverse function h- (x), its domain and its

Question

help with domain and range?

Find the inverse function h- (x), its domain and its range for h(t) (1-14). t14 Please write your answer in interval notation. Remember to use round ), square parenthesis [] and U (for union) as needed. Remember to Write-oo as: -INF and oo as INF. For any unused answer boxes, enter NONE in all capital letters (a) h-i (t) = sqrt(t) +14 You are correct. Your receipt no. is 153-1190 (b) Domain ,NONE NONE NONENONE INF INF U NONE NONE NONE NONE Submit AnswerIncorrect. Tries 1/99 Previous Tries (c) Range E NONE U NONE NONE NONE INF U NONE NONE NONE NONE Submit Answer Incorrect. Tries 1/99 Previous Tries

Explanation / Answer

given h(t) = (t-14)^2

solve for t in terms of h

(t-14)^2 = h

t - 14 = sqrt(h)

t = 14+sqrt(h)

interchange t and h

we ge h = 14+sqrt(t)

h^(-1) (t)= 14+sqrt(t)

b. domain of h^(-1) (t) is [0, infinity)

c. range of h^(-1) (t) is [14, infinity)

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