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chubhunter [2.5K]
3 years ago
11

Function machine what is f(-10)= for what input is the output 93

Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0

a) replace x with -10 and solve:

-6(-10)-3 = 60-3 = 57

f(-10) = 57

b) replace f(x) with 93 and solve for x:

93 = -6x-3

Add 3 to each side:

96 = -6x

Divide each side by -6:

x = -16

The input value is -16

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Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Given the functions expressed as:

h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2}  \\

In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))

Get the composite function h(g(x))

h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x

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Learn more on inverse functions here; brainly.com/question/14391067

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