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For values of x f(x) = 2x-3 and g(x)= x^2+1 find gf(x)
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For values of x f(x) = 2x-3 and g(x)= x^2+1 find gf(x)

User Clay Nichols
by
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1 Answer

3 votes

Answer:

g(f(x)) = 4x² - 12x + 10

Explanation:

to find g(f(x)) substitute x = f(x) ino g(x)

g(f(x))

= g(2x - 3)

= (2x - 3)² + 1 ← expand parenthesis using FOIL

= 4x² - 6x - 6x + 9 + 1

= 4x² - 12x + 10

User Solar Confinement
by
7.2k points
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