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# The function f is defined by f(x) = √x 10 for all

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The function f is defined by f(x) = âˆšx 10 for all [#permalink]  07 Feb 2007, 05:26
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The function f is defined by f(x) = √x â€“ 10 for all positive numbers x. If u = f(t) for some positive numbers t and u. What is t in terms of u?
A. √(u+10)
B. (√u + 10)^2
C. √(u^2+10)
D. (u + 10)^2
E. (u^2 + 10)^2
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If u=f(t), then

f(t)=sqrt(t)-10
u=sqrt(t)-10
u+10=sqrt(t)
u^2+10^2=t

Are you sure there is no typo in the answer choices?
Director
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Posts: 737
Schools: Stanford, Chicago Booth, Babson College
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Kudos [?]: 8 [0], given: 4

SimaQ wrote:
If u=f(t), then

f(t)=sqrt(t)-10
u=sqrt(t)-10
u+10=sqrt(t)

is it (u+10)^2=t?

u^2+10^2=t

Are you sure there is no typo in the answer choices?

SimaQ, thanks for attempting. Please see my comment above in red. Is nt the answer D?
Director
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Is the formula in the question stem f(x)=sqrt(x-10) or sqrt(x)-10?

u+10=sqrt(t)

Yes it is (u+10)^2...... my mistake

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Re: PS: Function f(u) [#permalink]  07 Feb 2007, 10:04
aurobindo wrote:
The function f is defined by f(x) = √x â€“ 10 for all positive numbers x. If u = f(t) for some positive numbers t and u. What is t in terms of u?
A. √(u+10)
B. (√u + 10)^2
C. √(u^2+10)
D. (u + 10)^2
E. (u^2 + 10)^2

u = f(t) = sq.rt(t) - 10

u = sq.rt(t) - 10

u + 10 = sq.rt(t)

t = (u + 10)^2

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Re: PS: Function f(u)   [#permalink] 07 Feb 2007, 10:04
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