Question

if f(x) =x^4-x^2+2x-3 then find f(x+2)

Answer 1

Answer:

It is enough to write

(

a

−

1

)

every time that you read

x

.

f

(

a

−

1

)

=

(

a

−

1

)

2

+

2

(

a

−

1

)

+

3

then it is just a matter of doing a bit of algebra

f

(

a

−

1

)

=

(

a

−

1

)

2

+

2

(

a

−

1

)

+

3

=

a

2

−

2

a

+

1

+

2

a

−

2

+

3

=

a

2

+

2

.

Answer 2

f(x+2) = x⁴ - x² + 2x + 13

Step-by-step explanation:

$\tt let \: \: \: x \: = x + 2$

$\large \tt {(x + 2)}^{4} - {(x + 2)}^{2} + 2(x + 2) - 3 = f(x + 2)$

after simplifying ,

$\large \tt f(x + 2) = {x}^{4} - {x}^{2} + 2x + 13$