Question

If f(x) = x3 + 4x and g(x) = -2x + 1, then g(f(3))=

Answer 1

Answer:

= 3041 Ans

Step-by-step explanation:

The question is : If f(x) = x³ + 4x and g(x) = -2x + 1 ,

then g{f(3)} = ?

g{f(x)} = {f(x)}² - 1

= 2(x³+4x)² - 1

=2[ (x³)² + 2(x³)(4x) + (4x)² ] - 1

=2x⁶ + 16x⁴ + 32x² - 1

g{f(3)} = 2(3)⁶ + 16(3)⁴ + 32(3)² - 1

=1458 + 1296 + 288 - 1

= 3041 Ans.