Function questions | Mathematics | Page 1

indigo steeple Jan 3, 2026, 7:41 AM

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I have two questions that need your help
A. Given the function f:x → 5-3x
i. Find the value of h such that f(3-h)=2h.
B. Given function f:x → a-4x, where a is a constant. Find the value of a such that f(a)=6

river etherBOT Jan 3, 2026, 7:41 AM

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marsh steppe Jan 3, 2026, 7:45 AM

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i don't think the function notation makes much sense

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but anyways

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do you mean f(x) = 5 - 3x

indigo steeple Jan 3, 2026, 7:45 AM

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Yeah. Sorry I made it too cramp

marsh steppe Jan 3, 2026, 7:46 AM

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what you want to do is take h in the domain

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plug in f(3 - h)

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what do you get

indigo steeple Jan 3, 2026, 7:47 AM

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Em... Inverse?

marsh steppe Jan 3, 2026, 7:47 AM

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you get 5 - 3(3 - h)

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now it wants f(3 - h) = 2h

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but we know f(3 - h) = 5 - 3(3 - h)

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so what should we do

indigo steeple Jan 3, 2026, 7:48 AM

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Expand?

marsh steppe Jan 3, 2026, 7:48 AM

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yes we should do that first

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but what next

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it says to solve for h in f(3 - h) = 2h

marsh steppe Jan 3, 2026, 7:49 AM

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marsh steppe you get 5 - 3(3 - h)

note this

indigo steeple Jan 3, 2026, 7:51 AM

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Solve it like a quadratic equation?

marsh steppe Jan 3, 2026, 7:53 AM

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it won't really turn into a quadratic equation

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but it will be a linear equation

indigo steeple Jan 3, 2026, 7:54 AM

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Sorry I forgot that the quadratic equation has squared number

marsh steppe Jan 3, 2026, 7:54 AM

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it's fine

indigo steeple Jan 3, 2026, 7:59 AM

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So is the question B similar to the question A that I gave?

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Oh I got it thank you for your help. And really sorry for the time that I asked I forgot that it is late night sorry, sorry.

#Function questions