For all values of x,

f (x) = x^2 + 3 and g (x) = x-4

show that fg (x) = x^2 - 5x + 4

Question

Mathematics

Giada

1 January, 19:40

For all values of x,

f (x) = x^2 + 3 and g (x) = x-4

show that fg (x) = x^2 - 5x + 4

+3

Answers (1)

Know the Answer?

Teresa Mcdonald · Answer 1

x^2 - 8x + 19.

Step-by-step explanation:

We replace the x in f (x) by the expression for g (x):

f (g (x)) = (x - 4) ^2 + 3

= x^2 - 8x + 16 + 3

= x^2 - 8x + 19.

For all values of x,f (x) = x^2 + 3 and g (x) = x-4show that fg (x) = x^2 - 5x + 4

For all values of x,

f (x) = x^2 + 3 and g (x) = x-4

show that fg (x) = x^2 - 5x + 4