Let g(x)=2x and h(x)=x^2+4. Find the value. (hg)(1)

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16-07-2016
Mathematics

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Let g(x)=2x and h(x)=x^2+4. Find the value. (hg)(1)

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olemakpadu olemakpadu · Answer 1 · 2016-07-16T17:14:48-04:00

olemakpadu olemakpadu

16-07-2016

g(x) = 2x h(x) = x² + 4

h(g(x)) = h(2x)

h(x) = x² + 4

h(2x) = (2x)² + 4 = 4x² + 4

hg(1):

hg(x) = h(g(x)) = 4x² + 4

hg(1) = 4*1² + 4 = 4 + 4 = 8

hg(1) = 8

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