If f(x) = x+4 and g(x) = 2x^2 +3x, find (g(f(x))?

Science & Mathematics by Anonymous 2018-05-18 11:06:04

Social Science

5 answers

Please explain how you got your answer! I tried to solve it and got 2x^2+31x+36 and I'm not sure if this is correct !

Anonymous

g( f(x) ) = g (x+4) g(x) = 2x^2+3x g(x+4) = 2(x+4)^2+3(x+4) = 2(x^2+8x+16)+3x+12 = 2x^2+16x+32+3x+12 = 2x^2+19x+44
Anonymous

g(f(x)) = 2(x + 4)^2 + 3(x + 4) = 2(x^2 + 8x + 16) + 3x + 12 = 2x^2 + 16x + 32 + 3x + 12 = 2x^2 + 19x + 44
Anonymous

f(x) = x + 4 g(x) = 2x^2 + 3x (g(f(x)) = 2(x + 4)^2 + 3(x + 4) = 2x^2 + 19x + 44
Anonymous

f(x) = x+4 g(x) = 2x²+3x = x(2x+3) g(f(x)) = f(x)(2f(x)+3) = (x+4)(2(x+4)+3) = (x+4)(2x+8+3) = (x+4)(2x+11) = 2x²+8x+11x+44 = 2x²+19x+44
Anonymous

g(x) = 2x² + 3x g(f(x)) = 2(f(x))² + 3f(x) g(f(x)) = 2(x+4)² + 3(x+4) g(f(x)) = 2(x² + 8x + 16) + 3x + 12 g(f(x)) = 2x² + 16x + 32 + 3x + 12 g(f(x)) = 2x² + 19x + 44